Greatest Common Factor of 654/47, 951/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 654/47, 951/277

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 654/47,951/277

Given fractions are 654/47,951/277

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 654,951

Greatest Common Factor of Numerators i.e. GCF of 654,951 is 3 .

LCM of Denominators means LCM of 47,277 as per the given fractions.

LCM of 47,277 is 13019 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,951

GCF of Fractions 654/47,951/277 is 3/13019

3 654, 951
218, 317

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 654,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,951 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 654,951 . The biggest common factor number is the GCF number.
So the greatest common factor 654,951 is 3.


Lets's calculate LCM of 47,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 13019

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13019

Therefore, the GCF of Fractions 654/47,951/277 is 3/13019

Least Common Multiple of 47,277 with GCF Formula

Least Common Multiple of 47,277 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 47,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,277) = 1

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

GCF(47,277) x common factors =1 x 1 = 1

LCM(47,277) = ( 47 × 277 ) / 1

LCM(47,277) = 13019 / 1

LCM(47,277) = 13019


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 654/47, 951/277

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 654/47, 951/277?

Answer: GCF of Numerators as per given numbers 654/47, 951/277 is

GCF of Numerators i.e. for 654,951 is 3

LCM of denominators i.e. for 47,277 is 13019.

Thus, GCF of Fractions is 3/13019.Finally, GCF of Fractions for 654/47, 951/277 is 3/13019.