Greatest Common Factor of 61/62, 779/93, 157/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/62, 779/93, 157/809

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 61/62,779/93,157/809

Given fractions are 61/62,779/93,157/809

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 61,779,157

Greatest Common Factor of Numerators i.e. GCF of 61,779,157 is 1 .

LCM of Denominators means LCM of 62,93,809 as per the given fractions.

LCM of 62,93,809 is 150474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,779,157

GCF of Fractions 61/62,779/93,157/809 is 1/150474

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

Greatest Common Factor of 61,779,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,779,157 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 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 61,779,157 . The biggest common factor number is the GCF number.
So the greatest common factor 61,779,157 is 1.

Lets's calculate LCM of 62,93,809

31 62, 93, 809
2, 3, 809

∴ So the LCM of the given numbers is 31 x 2 x 3 x 809 = 150474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150474

Therefore, the GCF of Fractions 61/62,779/93,157/809 is 1/150474

Least Common Multiple of 62,93,809 with GCF Formula

Least Common Multiple of 62,93,809 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 62,93,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,93,809) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(62,93,809) x common factors =1 x 31 = 31

LCM(62,93,809) = ( 62 × 93 × 809 ) / 31

LCM(62,93,809) = 4664694 / 31

LCM(62,93,809) = 150474


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 61/62, 779/93, 157/809

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 61/62, 779/93, 157/809?

Answer: GCF of Numerators as per given numbers 61/62, 779/93, 157/809 is

GCF of Numerators i.e. for 61,779,157 is 1

LCM of denominators i.e. for 62,93,809 is 150474.

Thus, GCF of Fractions is 1/150474.Finally, GCF of Fractions for 61/62, 779/93, 157/809 is 1/150474.