Greatest Common Factor of 82/88, 86/92, 53/57, 126/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/88, 86/92, 53/57, 126/84

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 82/88,86/92,53/57,126/84

Given fractions are 82/88,86/92,53/57,126/84

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 82,86,53,126

Greatest Common Factor of Numerators i.e. GCF of 82,86,53,126 is 1 .

LCM of Denominators means LCM of 88,92,57,84 as per the given fractions.

LCM of 88,92,57,84 is 807576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,86,53,126

GCF of Fractions 82/88,86/92,53/57,126/84 is 1/807576

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

Greatest Common Factor of 82,86,53,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,86,53,126 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 82,86,53,126 . The biggest common factor number is the GCF number.
So the greatest common factor 82,86,53,126 is 1.

Lets's calculate LCM of 88,92,57,84

2 88, 92, 57, 84
2 44, 46, 57, 42
3 22, 23, 57, 21
22, 23, 19, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 22 x 23 x 19 x 7 = 807576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/807576

Therefore, the GCF of Fractions 82/88,86/92,53/57,126/84 is 1/807576

Least Common Multiple of 88,92,57,84 with GCF Formula

Least Common Multiple of 88,92,57,84 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 88,92,57,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,92,57,84) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(88,92,57,84) x common factors =1 x 48 = 48

LCM(88,92,57,84) = ( 88 × 92 × 57 × 84 ) / 48

LCM(88,92,57,84) = 38763648 / 48

LCM(88,92,57,84) = 807576


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 82/88, 86/92, 53/57, 126/84

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 82/88, 86/92, 53/57, 126/84?

Answer: GCF of Numerators as per given numbers 82/88, 86/92, 53/57, 126/84 is

GCF of Numerators i.e. for 82,86,53,126 is 1

LCM of denominators i.e. for 88,92,57,84 is 807576.

Thus, GCF of Fractions is 1/807576.Finally, GCF of Fractions for 82/88, 86/92, 53/57, 126/84 is 1/807576.