Greatest Common Factor of 42/57, 77/59, 72/56, 30/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/57, 77/59, 72/56, 30/68

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 42/57,77/59,72/56,30/68

Given fractions are 42/57,77/59,72/56,30/68

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 42,77,72,30

Greatest Common Factor of Numerators i.e. GCF of 42,77,72,30 is 1 .

LCM of Denominators means LCM of 57,59,56,68 as per the given fractions.

LCM of 57,59,56,68 is 3201576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,77,72,30

GCF of Fractions 42/57,77/59,72/56,30/68 is 1/3201576

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

Greatest Common Factor of 42,77,72,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,77,72,30 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 42,77,72,30 . The biggest common factor number is the GCF number.
So the greatest common factor 42,77,72,30 is 1.

Lets's calculate LCM of 57,59,56,68

2 57, 59, 56, 68
2 57, 59, 28, 34
57, 59, 14, 17

∴ So the LCM of the given numbers is 2 x 2 x 57 x 59 x 14 x 17 = 3201576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3201576

Therefore, the GCF of Fractions 42/57,77/59,72/56,30/68 is 1/3201576

Least Common Multiple of 57,59,56,68 with GCF Formula

Least Common Multiple of 57,59,56,68 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 57,59,56,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,59,56,68) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(57,59,56,68) x common factors =1 x 4 = 4

LCM(57,59,56,68) = ( 57 × 59 × 56 × 68 ) / 4

LCM(57,59,56,68) = 12806304 / 4

LCM(57,59,56,68) = 3201576


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 42/57, 77/59, 72/56, 30/68

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 42/57, 77/59, 72/56, 30/68?

Answer: GCF of Numerators as per given numbers 42/57, 77/59, 72/56, 30/68 is

GCF of Numerators i.e. for 42,77,72,30 is 1

LCM of denominators i.e. for 57,59,56,68 is 3201576.

Thus, GCF of Fractions is 1/3201576.Finally, GCF of Fractions for 42/57, 77/59, 72/56, 30/68 is 1/3201576.