Greatest Common Factor of 7542/83, 5018/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7542/83, 5018/736

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 7542/83,5018/736

Given fractions are 7542/83,5018/736

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 7542,5018

Greatest Common Factor of Numerators i.e. GCF of 7542,5018 is 2 .

LCM of Denominators means LCM of 83,736 as per the given fractions.

LCM of 83,736 is 61088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7542,5018

GCF of Fractions 7542/83,5018/736 is 2/61088

2 7542, 5018
3771, 2509

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

Greatest Common Factor of 7542,5018 By Matching Biggest Common Factor Method

Greatest Common Factor of 7542,5018 By Matching Biggest Common Factor Method

Factors of 7542

List of positive integer factors of 7542 that divides 7542 without a remainder.

1,2,3,6,9,18,419,838,1257,2514,3771,7542

Factors of 5018

List of positive integer factors of 5018 that divides 5018 without a remainder.

1,2,13,26,193,386,2509,5018

Greatest Common Factor

We found the factors 7542,5018 . The biggest common factor number is the GCF number.
So the greatest common factor 7542,5018 is 2.

Lets's calculate LCM of 83,736

Given numbers has no common factors except 1. So, there LCM is their product i.e 61088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61088

Therefore, the GCF of Fractions 7542/83,5018/736 is 2/61088

Least Common Multiple of 83,736 with GCF Formula

Least Common Multiple of 83,736 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 83,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,736) = 1

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

GCF(83,736) x common factors =1 x 1 = 1

LCM(83,736) = ( 83 × 736 ) / 1

LCM(83,736) = 61088 / 1

LCM(83,736) = 61088


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 7542/83, 5018/736

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 7542/83, 5018/736?

Answer: GCF of Numerators as per given numbers 7542/83, 5018/736 is

GCF of Numerators i.e. for 7542,5018 is 2

LCM of denominators i.e. for 83,736 is 61088.

Thus, GCF of Fractions is 2/61088.Finally, GCF of Fractions for 7542/83, 5018/736 is 2/61088.