Greatest Common Factor of 9626/905, 7462/2824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9626/905, 7462/2824

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 9626/905,7462/2824

Given fractions are 9626/905,7462/2824

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 9626,7462

Greatest Common Factor of Numerators i.e. GCF of 9626,7462 is 2 .

LCM of Denominators means LCM of 905,2824 as per the given fractions.

LCM of 905,2824 is 2555720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9626,7462

GCF of Fractions 9626/905,7462/2824 is 2/2555720

2 9626, 7462
4813, 3731

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

Greatest Common Factor of 9626,7462 By Matching Biggest Common Factor Method

Greatest Common Factor of 9626,7462 By Matching Biggest Common Factor Method

Factors of 9626

List of positive integer factors of 9626 that divides 9626 without a remainder.

1,2,4813,9626

Factors of 7462

List of positive integer factors of 7462 that divides 7462 without a remainder.

1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462

Greatest Common Factor

We found the factors 9626,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 9626,7462 is 2.

Lets's calculate LCM of 905,2824

Given numbers has no common factors except 1. So, there LCM is their product i.e 2555720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2555720

Therefore, the GCF of Fractions 9626/905,7462/2824 is 2/2555720

Least Common Multiple of 905,2824 with GCF Formula

Least Common Multiple of 905,2824 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 905,2824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,2824) = 1

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

GCF(905,2824) x common factors =1 x 1 = 1

LCM(905,2824) = ( 905 × 2824 ) / 1

LCM(905,2824) = 2555720 / 1

LCM(905,2824) = 2555720


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 9626/905, 7462/2824

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 9626/905, 7462/2824?

Answer: GCF of Numerators as per given numbers 9626/905, 7462/2824 is

GCF of Numerators i.e. for 9626,7462 is 2

LCM of denominators i.e. for 905,2824 is 2555720.

Thus, GCF of Fractions is 2/2555720.Finally, GCF of Fractions for 9626/905, 7462/2824 is 2/2555720.