Greatest Common Factor of 4625/987, 5311/8742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4625/987, 5311/8742

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 4625/987,5311/8742

Given fractions are 4625/987,5311/8742

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 4625,5311

Greatest Common Factor of Numerators i.e. GCF of 4625,5311 is 1 .

LCM of Denominators means LCM of 987,8742 as per the given fractions.

LCM of 987,8742 is 61194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4625,5311

GCF of Fractions 4625/987,5311/8742 is 1/61194

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4625,5311 By Matching Biggest Common Factor Method

Greatest Common Factor of 4625,5311 By Matching Biggest Common Factor Method

Factors of 4625

List of positive integer factors of 4625 that divides 4625 without a remainder.

1,5,25,37,125,185,925,4625

Factors of 5311

List of positive integer factors of 5311 that divides 5311 without a remainder.

1,47,113,5311

Greatest Common Factor

We found the factors 4625,5311 . The biggest common factor number is the GCF number.
So the greatest common factor 4625,5311 is 1.

Lets's calculate LCM of 987,8742

3 987, 8742
47 329, 2914
7, 62

∴ So the LCM of the given numbers is 3 x 47 x 7 x 62 = 61194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61194

Therefore, the GCF of Fractions 4625/987,5311/8742 is 1/61194

Least Common Multiple of 987,8742 with GCF Formula

Least Common Multiple of 987,8742 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 987,8742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,8742) = 141

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

GCF(987,8742) x common factors =141 x 1 = 141

LCM(987,8742) = ( 987 × 8742 ) / 141

LCM(987,8742) = 8628354 / 141

LCM(987,8742) = 61194


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 4625/987, 5311/8742

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 4625/987, 5311/8742?

Answer: GCF of Numerators as per given numbers 4625/987, 5311/8742 is

GCF of Numerators i.e. for 4625,5311 is 1

LCM of denominators i.e. for 987,8742 is 61194.

Thus, GCF of Fractions is 1/61194.Finally, GCF of Fractions for 4625/987, 5311/8742 is 1/61194.