Greatest Common Factor of 8762/628, 7138/3192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8762/628, 7138/3192

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 8762/628,7138/3192

Given fractions are 8762/628,7138/3192

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 8762,7138

Greatest Common Factor of Numerators i.e. GCF of 8762,7138 is 2 .

LCM of Denominators means LCM of 628,3192 as per the given fractions.

LCM of 628,3192 is 501144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8762,7138

GCF of Fractions 8762/628,7138/3192 is 2/501144

2 8762, 7138
4381, 3569

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

Greatest Common Factor of 8762,7138 By Matching Biggest Common Factor Method

Greatest Common Factor of 8762,7138 By Matching Biggest Common Factor Method

Factors of 8762

List of positive integer factors of 8762 that divides 8762 without a remainder.

1,2,13,26,337,674,4381,8762

Factors of 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1,2,43,83,86,166,3569,7138

Greatest Common Factor

We found the factors 8762,7138 . The biggest common factor number is the GCF number.
So the greatest common factor 8762,7138 is 2.

Lets's calculate LCM of 628,3192

2 628, 3192
2 314, 1596
157, 798

∴ So the LCM of the given numbers is 2 x 2 x 157 x 798 = 501144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/501144

Therefore, the GCF of Fractions 8762/628,7138/3192 is 2/501144

Least Common Multiple of 628,3192 with GCF Formula

Least Common Multiple of 628,3192 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 628,3192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,3192) = 4

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

GCF(628,3192) x common factors =4 x 1 = 4

LCM(628,3192) = ( 628 × 3192 ) / 4

LCM(628,3192) = 2004576 / 4

LCM(628,3192) = 501144


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 8762/628, 7138/3192

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 8762/628, 7138/3192?

Answer: GCF of Numerators as per given numbers 8762/628, 7138/3192 is

GCF of Numerators i.e. for 8762,7138 is 2

LCM of denominators i.e. for 628,3192 is 501144.

Thus, GCF of Fractions is 2/501144.Finally, GCF of Fractions for 8762/628, 7138/3192 is 2/501144.