Greatest Common Factor of 657/29, 4555/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/29, 4555/967

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 657/29,4555/967

Given fractions are 657/29,4555/967

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 657,4555

Greatest Common Factor of Numerators i.e. GCF of 657,4555 is 1 .

LCM of Denominators means LCM of 29,967 as per the given fractions.

LCM of 29,967 is 28043 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,4555

GCF of Fractions 657/29,4555/967 is 1/28043

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

Greatest Common Factor of 657,4555 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,4555 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 4555

List of positive integer factors of 4555 that divides 4555 without a remainder.

1,5,911,4555

Greatest Common Factor

We found the factors 657,4555 . The biggest common factor number is the GCF number.
So the greatest common factor 657,4555 is 1.

Lets's calculate LCM of 29,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 28043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28043

Therefore, the GCF of Fractions 657/29,4555/967 is 1/28043

Least Common Multiple of 29,967 with GCF Formula

Least Common Multiple of 29,967 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 29,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,967) = 1

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

GCF(29,967) x common factors =1 x 1 = 1

LCM(29,967) = ( 29 × 967 ) / 1

LCM(29,967) = 28043 / 1

LCM(29,967) = 28043


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 657/29, 4555/967

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 657/29, 4555/967?

Answer: GCF of Numerators as per given numbers 657/29, 4555/967 is

GCF of Numerators i.e. for 657,4555 is 1

LCM of denominators i.e. for 29,967 is 28043.

Thus, GCF of Fractions is 1/28043.Finally, GCF of Fractions for 657/29, 4555/967 is 1/28043.