Greatest Common Factor of 9164/351, 7492/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9164/351, 7492/621

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 9164/351,7492/621

Given fractions are 9164/351,7492/621

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 9164,7492

Greatest Common Factor of Numerators i.e. GCF of 9164,7492 is 4 .

LCM of Denominators means LCM of 351,621 as per the given fractions.

LCM of 351,621 is 8073 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9164,7492

GCF of Fractions 9164/351,7492/621 is 4/8073

2 9164, 7492
2 4582, 3746
2291, 1873

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9164,7492 By Matching Biggest Common Factor Method

Greatest Common Factor of 9164,7492 By Matching Biggest Common Factor Method

Factors of 9164

List of positive integer factors of 9164 that divides 9164 without a remainder.

1,2,4,29,58,79,116,158,316,2291,4582,9164

Factors of 7492

List of positive integer factors of 7492 that divides 7492 without a remainder.

1,2,4,1873,3746,7492

Greatest Common Factor

We found the factors 9164,7492 . The biggest common factor number is the GCF number.
So the greatest common factor 9164,7492 is 4.

Lets's calculate LCM of 351,621

3 351, 621
3 117, 207
3 39, 69
13, 23

∴ So the LCM of the given numbers is 3 x 3 x 3 x 13 x 23 = 8073

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8073

Therefore, the GCF of Fractions 9164/351,7492/621 is 4/8073

Least Common Multiple of 351,621 with GCF Formula

Least Common Multiple of 351,621 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 351,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,621) = 27

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

GCF(351,621) x common factors =27 x 1 = 27

LCM(351,621) = ( 351 × 621 ) / 27

LCM(351,621) = 217971 / 27

LCM(351,621) = 8073


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 9164/351, 7492/621

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 9164/351, 7492/621?

Answer: GCF of Numerators as per given numbers 9164/351, 7492/621 is

GCF of Numerators i.e. for 9164,7492 is 4

LCM of denominators i.e. for 351,621 is 8073.

Thus, GCF of Fractions is 4/8073.Finally, GCF of Fractions for 9164/351, 7492/621 is 4/8073.