Greatest Common Factor of 7428/74, 6398/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7428/74, 6398/577

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 7428/74,6398/577

Given fractions are 7428/74,6398/577

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 7428,6398

Greatest Common Factor of Numerators i.e. GCF of 7428,6398 is 2 .

LCM of Denominators means LCM of 74,577 as per the given fractions.

LCM of 74,577 is 42698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7428,6398

GCF of Fractions 7428/74,6398/577 is 2/42698

2 7428, 6398
3714, 3199

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

Greatest Common Factor of 7428,6398 By Matching Biggest Common Factor Method

Greatest Common Factor of 7428,6398 By Matching Biggest Common Factor Method

Factors of 7428

List of positive integer factors of 7428 that divides 7428 without a remainder.

1,2,3,4,6,12,619,1238,1857,2476,3714,7428

Factors of 6398

List of positive integer factors of 6398 that divides 6398 without a remainder.

1,2,7,14,457,914,3199,6398

Greatest Common Factor

We found the factors 7428,6398 . The biggest common factor number is the GCF number.
So the greatest common factor 7428,6398 is 2.

Lets's calculate LCM of 74,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 42698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42698

Therefore, the GCF of Fractions 7428/74,6398/577 is 2/42698

Least Common Multiple of 74,577 with GCF Formula

Least Common Multiple of 74,577 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 74,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,577) = 1

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

GCF(74,577) x common factors =1 x 1 = 1

LCM(74,577) = ( 74 × 577 ) / 1

LCM(74,577) = 42698 / 1

LCM(74,577) = 42698


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 7428/74, 6398/577

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 7428/74, 6398/577?

Answer: GCF of Numerators as per given numbers 7428/74, 6398/577 is

GCF of Numerators i.e. for 7428,6398 is 2

LCM of denominators i.e. for 74,577 is 42698.

Thus, GCF of Fractions is 2/42698.Finally, GCF of Fractions for 7428/74, 6398/577 is 2/42698.