Greatest Common Factor of 657/23, 4456/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/23, 4456/977

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 657/23,4456/977

Given fractions are 657/23,4456/977

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 657,4456

Greatest Common Factor of Numerators i.e. GCF of 657,4456 is 1 .

LCM of Denominators means LCM of 23,977 as per the given fractions.

LCM of 23,977 is 22471 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,4456

GCF of Fractions 657/23,4456/977 is 1/22471

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

Greatest Common Factor of 657,4456 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,4456 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 4456

List of positive integer factors of 4456 that divides 4456 without a remainder.

1,2,4,8,557,1114,2228,4456

Greatest Common Factor

We found the factors 657,4456 . The biggest common factor number is the GCF number.
So the greatest common factor 657,4456 is 1.

Lets's calculate LCM of 23,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 22471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22471

Therefore, the GCF of Fractions 657/23,4456/977 is 1/22471

Least Common Multiple of 23,977 with GCF Formula

Least Common Multiple of 23,977 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 23,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,977) = 1

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

GCF(23,977) x common factors =1 x 1 = 1

LCM(23,977) = ( 23 × 977 ) / 1

LCM(23,977) = 22471 / 1

LCM(23,977) = 22471


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 657/23, 4456/977

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 657/23, 4456/977?

Answer: GCF of Numerators as per given numbers 657/23, 4456/977 is

GCF of Numerators i.e. for 657,4456 is 1

LCM of denominators i.e. for 23,977 is 22471.

Thus, GCF of Fractions is 1/22471.Finally, GCF of Fractions for 657/23, 4456/977 is 1/22471.