Greatest Common Factor of 157/512, 769/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 157/512, 769/208

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 157/512,769/208

Given fractions are 157/512,769/208

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 157,769

Greatest Common Factor of Numerators i.e. GCF of 157,769 is 1 .

LCM of Denominators means LCM of 512,208 as per the given fractions.

LCM of 512,208 is 6656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 157,769

GCF of Fractions 157/512,769/208 is 1/6656

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

Greatest Common Factor of 157,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,769 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 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 157,769 . The biggest common factor number is the GCF number.
So the greatest common factor 157,769 is 1.

Lets's calculate LCM of 512,208

2 512, 208
2 256, 104
2 128, 52
2 64, 26
32, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 32 x 13 = 6656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6656

Therefore, the GCF of Fractions 157/512,769/208 is 1/6656

Least Common Multiple of 512,208 with GCF Formula

Least Common Multiple of 512,208 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 512,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,208) = 16

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

GCF(512,208) x common factors =16 x 1 = 16

LCM(512,208) = ( 512 × 208 ) / 16

LCM(512,208) = 106496 / 16

LCM(512,208) = 6656


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 157/512, 769/208

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 157/512, 769/208?

Answer: GCF of Numerators as per given numbers 157/512, 769/208 is

GCF of Numerators i.e. for 157,769 is 1

LCM of denominators i.e. for 512,208 is 6656.

Thus, GCF of Fractions is 1/6656.Finally, GCF of Fractions for 157/512, 769/208 is 1/6656.