Greatest Common Factor of 57/32, 61/36, 83/97, 37/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/32, 61/36, 83/97, 37/214

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 57/32,61/36,83/97,37/214

Given fractions are 57/32,61/36,83/97,37/214

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 57,61,83,37

Greatest Common Factor of Numerators i.e. GCF of 57,61,83,37 is 1 .

LCM of Denominators means LCM of 32,36,97,214 as per the given fractions.

LCM of 32,36,97,214 is 2989152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,61,83,37

GCF of Fractions 57/32,61/36,83/97,37/214 is 1/2989152

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

Greatest Common Factor of 57,61,83,37 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,61,83,37 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors 57,61,83,37 . The biggest common factor number is the GCF number.
So the greatest common factor 57,61,83,37 is 1.

Lets's calculate LCM of 32,36,97,214

2 32, 36, 97, 214
2 16, 18, 97, 107
8, 9, 97, 107

∴ So the LCM of the given numbers is 2 x 2 x 8 x 9 x 97 x 107 = 2989152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2989152

Therefore, the GCF of Fractions 57/32,61/36,83/97,37/214 is 1/2989152

Least Common Multiple of 32,36,97,214 with GCF Formula

Least Common Multiple of 32,36,97,214 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 32,36,97,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,36,97,214) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(32,36,97,214) x common factors =1 x 8 = 8

LCM(32,36,97,214) = ( 32 × 36 × 97 × 214 ) / 8

LCM(32,36,97,214) = 23913216 / 8

LCM(32,36,97,214) = 2989152


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 57/32, 61/36, 83/97, 37/214

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 57/32, 61/36, 83/97, 37/214?

Answer: GCF of Numerators as per given numbers 57/32, 61/36, 83/97, 37/214 is

GCF of Numerators i.e. for 57,61,83,37 is 1

LCM of denominators i.e. for 32,36,97,214 is 2989152.

Thus, GCF of Fractions is 1/2989152.Finally, GCF of Fractions for 57/32, 61/36, 83/97, 37/214 is 1/2989152.