Greatest Common Factor of 157/1744, 455/6681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 157/1744, 455/6681

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 157/1744,455/6681

Given fractions are 157/1744,455/6681

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 157,455

Greatest Common Factor of Numerators i.e. GCF of 157,455 is 1 .

LCM of Denominators means LCM of 1744,6681 as per the given fractions.

LCM of 1744,6681 is 11651664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 157,455

GCF of Fractions 157/1744,455/6681 is 1/11651664

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

Greatest Common Factor of 157,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,455 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 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 157,455 . The biggest common factor number is the GCF number.
So the greatest common factor 157,455 is 1.

Lets's calculate LCM of 1744,6681

Given numbers has no common factors except 1. So, there LCM is their product i.e 11651664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11651664

Therefore, the GCF of Fractions 157/1744,455/6681 is 1/11651664

Least Common Multiple of 1744,6681 with GCF Formula

Least Common Multiple of 1744,6681 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 1744,6681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1744,6681) = 1

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

GCF(1744,6681) x common factors =1 x 1 = 1

LCM(1744,6681) = ( 1744 × 6681 ) / 1

LCM(1744,6681) = 11651664 / 1

LCM(1744,6681) = 11651664


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 157/1744, 455/6681

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 157/1744, 455/6681?

Answer: GCF of Numerators as per given numbers 157/1744, 455/6681 is

GCF of Numerators i.e. for 157,455 is 1

LCM of denominators i.e. for 1744,6681 is 11651664.

Thus, GCF of Fractions is 1/11651664.Finally, GCF of Fractions for 157/1744, 455/6681 is 1/11651664.