Greatest Common Factor of 1/60, 28/81, 52/784, 121/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/60, 28/81, 52/784, 121/397

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 1/60,28/81,52/784,121/397

Given fractions are 1/60,28/81,52/784,121/397

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 1,28,52,121

Greatest Common Factor of Numerators i.e. GCF of 1,28,52,121 is 1 .

LCM of Denominators means LCM of 60,81,784,397 as per the given fractions.

LCM of 60,81,784,397 is 126055440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,28,52,121

GCF of Fractions 1/60,28/81,52/784,121/397 is 1/126055440

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

Greatest Common Factor of 1,28,52,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,28,52,121 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 1,28,52,121 . The biggest common factor number is the GCF number.
So the greatest common factor 1,28,52,121 is 1.

Lets's calculate LCM of 60,81,784,397

2 60, 81, 784, 397
2 30, 81, 392, 397
3 15, 81, 196, 397
5, 27, 196, 397

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 27 x 196 x 397 = 126055440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126055440

Therefore, the GCF of Fractions 1/60,28/81,52/784,121/397 is 1/126055440

Least Common Multiple of 60,81,784,397 with GCF Formula

Least Common Multiple of 60,81,784,397 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 60,81,784,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,81,784,397) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,81,784,397) x common factors =1 x 12 = 12

LCM(60,81,784,397) = ( 60 × 81 × 784 × 397 ) / 12

LCM(60,81,784,397) = 1512665280 / 12

LCM(60,81,784,397) = 126055440


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 1/60, 28/81, 52/784, 121/397

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 1/60, 28/81, 52/784, 121/397?

Answer: GCF of Numerators as per given numbers 1/60, 28/81, 52/784, 121/397 is

GCF of Numerators i.e. for 1,28,52,121 is 1

LCM of denominators i.e. for 60,81,784,397 is 126055440.

Thus, GCF of Fractions is 1/126055440.Finally, GCF of Fractions for 1/60, 28/81, 52/784, 121/397 is 1/126055440.