Greatest Common Factor of 7157/748, 6494/8630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7157/748, 6494/8630

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 7157/748,6494/8630

Given fractions are 7157/748,6494/8630

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 7157,6494

Greatest Common Factor of Numerators i.e. GCF of 7157,6494 is 17 .

LCM of Denominators means LCM of 748,8630 as per the given fractions.

LCM of 748,8630 is 3227620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7157,6494

GCF of Fractions 7157/748,6494/8630 is 17/3227620

17 7157, 6494
421, 382

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 7157,6494 By Matching Biggest Common Factor Method

Greatest Common Factor of 7157,6494 By Matching Biggest Common Factor Method

Factors of 7157

List of positive integer factors of 7157 that divides 7157 without a remainder.

1,17,421,7157

Factors of 6494

List of positive integer factors of 6494 that divides 6494 without a remainder.

1,2,17,34,191,382,3247,6494

Greatest Common Factor

We found the factors 7157,6494 . The biggest common factor number is the GCF number.
So the greatest common factor 7157,6494 is 17.

Lets's calculate LCM of 748,8630

2 748, 8630
374, 4315

∴ So the LCM of the given numbers is 2 x 374 x 4315 = 3227620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3227620

Therefore, the GCF of Fractions 7157/748,6494/8630 is 17/3227620

Least Common Multiple of 748,8630 with GCF Formula

Least Common Multiple of 748,8630 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 748,8630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,8630) = 2

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

GCF(748,8630) x common factors =2 x 1 = 2

LCM(748,8630) = ( 748 × 8630 ) / 2

LCM(748,8630) = 6455240 / 2

LCM(748,8630) = 3227620


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 7157/748, 6494/8630

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 7157/748, 6494/8630?

Answer: GCF of Numerators as per given numbers 7157/748, 6494/8630 is

GCF of Numerators i.e. for 7157,6494 is 17

LCM of denominators i.e. for 748,8630 is 3227620.

Thus, GCF of Fractions is 17/3227620.Finally, GCF of Fractions for 7157/748, 6494/8630 is 17/3227620.