Greatest Common Factor of 2908/11, 9642/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2908/11, 9642/822

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2908/11,9642/822

Given fractions are 2908/11,9642/822

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2908,9642

Greatest Common Factor of Numerators i.e. GCF of 2908,9642 is 2 .

LCM of Denominators means LCM of 11,822 as per the given fractions.

LCM of 11,822 is 9042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2908,9642

GCF of Fractions 2908/11,9642/822 is 2/9042

2 2908, 9642
1454, 4821

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2908,9642 By Matching Biggest Common Factor Method

Greatest Common Factor of 2908,9642 By Matching Biggest Common Factor Method

Factors of 2908

List of positive integer factors of 2908 that divides 2908 without a remainder.

1,2,4,727,1454,2908

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

Greatest Common Factor

We found the factors 2908,9642 . The biggest common factor number is the GCF number.
So the greatest common factor 2908,9642 is 2.

Lets's calculate LCM of 11,822

Given numbers has no common factors except 1. So, there LCM is their product i.e 9042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9042

Therefore, the GCF of Fractions 2908/11,9642/822 is 2/9042

Least Common Multiple of 11,822 with GCF Formula

Least Common Multiple of 11,822 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 11,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,822) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(11,822) x common factors =1 x 1 = 1

LCM(11,822) = ( 11 × 822 ) / 1

LCM(11,822) = 9042 / 1

LCM(11,822) = 9042


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2908/11, 9642/822

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2908/11, 9642/822?

Answer: GCF of Numerators as per given numbers 2908/11, 9642/822 is

GCF of Numerators i.e. for 2908,9642 is 2

LCM of denominators i.e. for 11,822 is 9042.

Thus, GCF of Fractions is 2/9042.Finally, GCF of Fractions for 2908/11, 9642/822 is 2/9042.