Greatest Common Factor of 8942/630, 7327/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8942/630, 7327/788

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 8942/630,7327/788

Given fractions are 8942/630,7327/788

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 8942,7327

Greatest Common Factor of Numerators i.e. GCF of 8942,7327 is 17 .

LCM of Denominators means LCM of 630,788 as per the given fractions.

LCM of 630,788 is 248220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8942,7327

GCF of Fractions 8942/630,7327/788 is 17/248220

17 8942, 7327
526, 431

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

Greatest Common Factor of 8942,7327 By Matching Biggest Common Factor Method

Greatest Common Factor of 8942,7327 By Matching Biggest Common Factor Method

Factors of 8942

List of positive integer factors of 8942 that divides 8942 without a remainder.

1,2,17,34,263,526,4471,8942

Factors of 7327

List of positive integer factors of 7327 that divides 7327 without a remainder.

1,17,431,7327

Greatest Common Factor

We found the factors 8942,7327 . The biggest common factor number is the GCF number.
So the greatest common factor 8942,7327 is 17.

Lets's calculate LCM of 630,788

2 630, 788
315, 394

∴ So the LCM of the given numbers is 2 x 315 x 394 = 248220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/248220

Therefore, the GCF of Fractions 8942/630,7327/788 is 17/248220

Least Common Multiple of 630,788 with GCF Formula

Least Common Multiple of 630,788 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 630,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,788) = 2

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

GCF(630,788) x common factors =2 x 1 = 2

LCM(630,788) = ( 630 × 788 ) / 2

LCM(630,788) = 496440 / 2

LCM(630,788) = 248220


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 8942/630, 7327/788

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 8942/630, 7327/788?

Answer: GCF of Numerators as per given numbers 8942/630, 7327/788 is

GCF of Numerators i.e. for 8942,7327 is 17

LCM of denominators i.e. for 630,788 is 248220.

Thus, GCF of Fractions is 17/248220.Finally, GCF of Fractions for 8942/630, 7327/788 is 17/248220.