Greatest Common Factor of 87/21, 14/18, 92/82, 748/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/21, 14/18, 92/82, 748/65

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 87/21,14/18,92/82,748/65

Given fractions are 87/21,14/18,92/82,748/65

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 87,14,92,748

Greatest Common Factor of Numerators i.e. GCF of 87,14,92,748 is 1 .

LCM of Denominators means LCM of 21,18,82,65 as per the given fractions.

LCM of 21,18,82,65 is 335790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,14,92,748

GCF of Fractions 87/21,14/18,92/82,748/65 is 1/335790

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

Greatest Common Factor of 87,14,92,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,14,92,748 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 87,14,92,748 . The biggest common factor number is the GCF number.
So the greatest common factor 87,14,92,748 is 1.

Lets's calculate LCM of 21,18,82,65

2 21, 18, 82, 65
3 21, 9, 41, 65
7, 3, 41, 65

∴ So the LCM of the given numbers is 2 x 3 x 7 x 3 x 41 x 65 = 335790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335790

Therefore, the GCF of Fractions 87/21,14/18,92/82,748/65 is 1/335790

Least Common Multiple of 21,18,82,65 with GCF Formula

Least Common Multiple of 21,18,82,65 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 21,18,82,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,18,82,65) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(21,18,82,65) x common factors =1 x 6 = 6

LCM(21,18,82,65) = ( 21 × 18 × 82 × 65 ) / 6

LCM(21,18,82,65) = 2014740 / 6

LCM(21,18,82,65) = 335790


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 87/21, 14/18, 92/82, 748/65

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 87/21, 14/18, 92/82, 748/65?

Answer: GCF of Numerators as per given numbers 87/21, 14/18, 92/82, 748/65 is

GCF of Numerators i.e. for 87,14,92,748 is 1

LCM of denominators i.e. for 21,18,82,65 is 335790.

Thus, GCF of Fractions is 1/335790.Finally, GCF of Fractions for 87/21, 14/18, 92/82, 748/65 is 1/335790.