Greatest Common Factor of 61/73, 74/60, 71/70, 64/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/73, 74/60, 71/70, 64/125

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 61/73,74/60,71/70,64/125

Given fractions are 61/73,74/60,71/70,64/125

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 61,74,71,64

Greatest Common Factor of Numerators i.e. GCF of 61,74,71,64 is 1 .

LCM of Denominators means LCM of 73,60,70,125 as per the given fractions.

LCM of 73,60,70,125 is 766500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,74,71,64

GCF of Fractions 61/73,74/60,71/70,64/125 is 1/766500

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

Greatest Common Factor of 61,74,71,64 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,74,71,64 By Matching Biggest Common Factor Method

Factors of 61

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

1,61

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Greatest Common Factor

We found the factors 61,74,71,64 . The biggest common factor number is the GCF number.
So the greatest common factor 61,74,71,64 is 1.

Lets's calculate LCM of 73,60,70,125

2 73, 60, 70, 125
5 73, 30, 35, 125
73, 6, 7, 25

∴ So the LCM of the given numbers is 2 x 5 x 73 x 6 x 7 x 25 = 766500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/766500

Therefore, the GCF of Fractions 61/73,74/60,71/70,64/125 is 1/766500

Least Common Multiple of 73,60,70,125 with GCF Formula

Least Common Multiple of 73,60,70,125 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 73,60,70,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,60,70,125) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(73,60,70,125) x common factors =1 x 50 = 50

LCM(73,60,70,125) = ( 73 × 60 × 70 × 125 ) / 50

LCM(73,60,70,125) = 38325000 / 50

LCM(73,60,70,125) = 766500


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 61/73, 74/60, 71/70, 64/125

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 61/73, 74/60, 71/70, 64/125?

Answer: GCF of Numerators as per given numbers 61/73, 74/60, 71/70, 64/125 is

GCF of Numerators i.e. for 61,74,71,64 is 1

LCM of denominators i.e. for 73,60,70,125 is 766500.

Thus, GCF of Fractions is 1/766500.Finally, GCF of Fractions for 61/73, 74/60, 71/70, 64/125 is 1/766500.