Greatest Common Factor of 654/14, 711/5522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/14, 711/5522

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 654/14,711/5522

Given fractions are 654/14,711/5522

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 654,711

Greatest Common Factor of Numerators i.e. GCF of 654,711 is 3 .

LCM of Denominators means LCM of 14,5522 as per the given fractions.

LCM of 14,5522 is 38654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,711

GCF of Fractions 654/14,711/5522 is 3/38654

3 654, 711
218, 237

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

Greatest Common Factor of 654,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,711 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 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 654,711 . The biggest common factor number is the GCF number.
So the greatest common factor 654,711 is 3.

Lets's calculate LCM of 14,5522

2 14, 5522
7, 2761

∴ So the LCM of the given numbers is 2 x 7 x 2761 = 38654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38654

Therefore, the GCF of Fractions 654/14,711/5522 is 3/38654

Least Common Multiple of 14,5522 with GCF Formula

Least Common Multiple of 14,5522 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 14,5522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,5522) = 2

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

GCF(14,5522) x common factors =2 x 1 = 2

LCM(14,5522) = ( 14 × 5522 ) / 2

LCM(14,5522) = 77308 / 2

LCM(14,5522) = 38654


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 654/14, 711/5522

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 654/14, 711/5522?

Answer: GCF of Numerators as per given numbers 654/14, 711/5522 is

GCF of Numerators i.e. for 654,711 is 3

LCM of denominators i.e. for 14,5522 is 38654.

Thus, GCF of Fractions is 3/38654.Finally, GCF of Fractions for 654/14, 711/5522 is 3/38654.