Greatest Common Factor of 157/82, 766/59, 814/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 157/82, 766/59, 814/561

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 157/82,766/59,814/561

Given fractions are 157/82,766/59,814/561

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 157,766,814

Greatest Common Factor of Numerators i.e. GCF of 157,766,814 is 1 .

LCM of Denominators means LCM of 82,59,561 as per the given fractions.

LCM of 82,59,561 is 2714118 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 157,766,814

GCF of Fractions 157/82,766/59,814/561 is 1/2714118

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

Greatest Common Factor of 157,766,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,766,814 By Matching Biggest Common Factor Method

Factors of 157

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

1,157

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 157,766,814 . The biggest common factor number is the GCF number.
So the greatest common factor 157,766,814 is 1.

Lets's calculate LCM of 82,59,561

Given numbers has no common factors except 1. So, there LCM is their product i.e 2714118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2714118

Therefore, the GCF of Fractions 157/82,766/59,814/561 is 1/2714118

Least Common Multiple of 82,59,561 with GCF Formula

Least Common Multiple of 82,59,561 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 82,59,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,59,561) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(82,59,561) x common factors =1 x 1 = 1

LCM(82,59,561) = ( 82 × 59 × 561 ) / 1

LCM(82,59,561) = 2714118 / 1

LCM(82,59,561) = 2714118


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 157/82, 766/59, 814/561

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 157/82, 766/59, 814/561?

Answer: GCF of Numerators as per given numbers 157/82, 766/59, 814/561 is

GCF of Numerators i.e. for 157,766,814 is 1

LCM of denominators i.e. for 82,59,561 is 2714118.

Thus, GCF of Fractions is 1/2714118.Finally, GCF of Fractions for 157/82, 766/59, 814/561 is 1/2714118.