Greatest Common Factor of 118/7888, 536/7190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/7888, 536/7190

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 118/7888,536/7190

Given fractions are 118/7888,536/7190

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 118,536

Greatest Common Factor of Numerators i.e. GCF of 118,536 is 2 .

LCM of Denominators means LCM of 7888,7190 as per the given fractions.

LCM of 7888,7190 is 28357360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,536

GCF of Fractions 118/7888,536/7190 is 2/28357360

2 118, 536
59, 268

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

Greatest Common Factor of 118,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,536 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 118,536 . The biggest common factor number is the GCF number.
So the greatest common factor 118,536 is 2.

Lets's calculate LCM of 7888,7190

2 7888, 7190
3944, 3595

∴ So the LCM of the given numbers is 2 x 3944 x 3595 = 28357360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28357360

Therefore, the GCF of Fractions 118/7888,536/7190 is 2/28357360

Least Common Multiple of 7888,7190 with GCF Formula

Least Common Multiple of 7888,7190 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 7888,7190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7888,7190) = 2

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

GCF(7888,7190) x common factors =2 x 1 = 2

LCM(7888,7190) = ( 7888 × 7190 ) / 2

LCM(7888,7190) = 56714720 / 2

LCM(7888,7190) = 28357360


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 118/7888, 536/7190

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 118/7888, 536/7190?

Answer: GCF of Numerators as per given numbers 118/7888, 536/7190 is

GCF of Numerators i.e. for 118,536 is 2

LCM of denominators i.e. for 7888,7190 is 28357360.

Thus, GCF of Fractions is 2/28357360.Finally, GCF of Fractions for 118/7888, 536/7190 is 2/28357360.