Answer
437.7k+ views
Hint: A factor of a number is an exact divisor of that number.
For example: Factors of 12 = 1, 2, 3, 4, 6, 12
We can say that a number is a multiple of each of its factors
HCF is an acronym for the highest common factor.
The Highest Common Factor of two or more given numbers is the highest (or greatest) of their common factors.
It is also known as the Greatest Common Divisor (GCD).
Complete step-by-step answer:
Step 1: Find factors of 6 and 8.
Factors of 6 = 1, 2, 3.
Factors of 8 = 1, 2, 4, 8.
Step 2: Identify the common factors between 6 and 8
Common factors of 6 and 8 = 1, 2.
Step 3: Identify the highest (or greatest) factors among the common factors of 6 and 8.
A highest common factor of 6 and 8 = 2
Final answer: Thus, HCF ( 6, 8) is 2.
So, the correct answer is “Option C”.
Note: Some useful facts related to factors are as following:
1 is a factor of every number.
Every number is a factor of itself.
Every factor is less than or equal to the given number.
The number of factors of a given number are finite.
HCF can also be found using repeated division.
For example:
1) HCF of 6 and 8
HCF (6, 8) = 2
2) HCF of 24 and 36
HCF (24, 36) $ = 2 \times 2 \times 3$ = 12
For example: Factors of 12 = 1, 2, 3, 4, 6, 12
We can say that a number is a multiple of each of its factors
HCF is an acronym for the highest common factor.
The Highest Common Factor of two or more given numbers is the highest (or greatest) of their common factors.
It is also known as the Greatest Common Divisor (GCD).
Complete step-by-step answer:
Step 1: Find factors of 6 and 8.
Factors of 6 = 1, 2, 3.
Factors of 8 = 1, 2, 4, 8.
Step 2: Identify the common factors between 6 and 8
Common factors of 6 and 8 = 1, 2.
Step 3: Identify the highest (or greatest) factors among the common factors of 6 and 8.
A highest common factor of 6 and 8 = 2
Final answer: Thus, HCF ( 6, 8) is 2.
So, the correct answer is “Option C”.
Note: Some useful facts related to factors are as following:
1 is a factor of every number.
Every number is a factor of itself.
Every factor is less than or equal to the given number.
The number of factors of a given number are finite.
HCF can also be found using repeated division.
For example:
1) HCF of 6 and 8
![seo images](https://www.vedantu.com/question-sets/03b3a582-14d2-48e5-a546-d77fa345fad43976202739358550581.png)
HCF (6, 8) = 2
2) HCF of 24 and 36
![seo images](https://www.vedantu.com/question-sets/cda5834e-fced-475d-9fdc-933b465a9add1570999811133698242.png)
HCF (24, 36) $ = 2 \times 2 \times 3$ = 12
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)