Greatest Common Factor of 4382/272, 6538/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4382/272, 6538/986

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 4382/272,6538/986

Given fractions are 4382/272,6538/986

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 4382,6538

Greatest Common Factor of Numerators i.e. GCF of 4382,6538 is 14 .

LCM of Denominators means LCM of 272,986 as per the given fractions.

LCM of 272,986 is 7888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4382,6538

GCF of Fractions 4382/272,6538/986 is 14/7888

2 4382, 6538
7 2191, 3269
313, 467

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 4382,6538 By Matching Biggest Common Factor Method

Greatest Common Factor of 4382,6538 By Matching Biggest Common Factor Method

Factors of 4382

List of positive integer factors of 4382 that divides 4382 without a remainder.

1,2,7,14,313,626,2191,4382

Factors of 6538

List of positive integer factors of 6538 that divides 6538 without a remainder.

1,2,7,14,467,934,3269,6538

Greatest Common Factor

We found the factors 4382,6538 . The biggest common factor number is the GCF number.
So the greatest common factor 4382,6538 is 14.

Lets's calculate LCM of 272,986

2 272, 986
17 136, 493
8, 29

∴ So the LCM of the given numbers is 2 x 17 x 8 x 29 = 7888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/7888

Therefore, the GCF of Fractions 4382/272,6538/986 is 14/7888

Least Common Multiple of 272,986 with GCF Formula

Least Common Multiple of 272,986 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 272,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,986) = 34

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

GCF(272,986) x common factors =34 x 1 = 34

LCM(272,986) = ( 272 × 986 ) / 34

LCM(272,986) = 268192 / 34

LCM(272,986) = 7888


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 4382/272, 6538/986

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 4382/272, 6538/986?

Answer: GCF of Numerators as per given numbers 4382/272, 6538/986 is

GCF of Numerators i.e. for 4382,6538 is 14

LCM of denominators i.e. for 272,986 is 7888.

Thus, GCF of Fractions is 14/7888.Finally, GCF of Fractions for 4382/272, 6538/986 is 14/7888.