Greatest Common Factor of 5676/151, 2445/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5676/151, 2445/722

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 5676/151,2445/722

Given fractions are 5676/151,2445/722

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 5676,2445

Greatest Common Factor of Numerators i.e. GCF of 5676,2445 is 3 .

LCM of Denominators means LCM of 151,722 as per the given fractions.

LCM of 151,722 is 109022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5676,2445

GCF of Fractions 5676/151,2445/722 is 3/109022

3 5676, 2445
1892, 815

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

Greatest Common Factor of 5676,2445 By Matching Biggest Common Factor Method

Greatest Common Factor of 5676,2445 By Matching Biggest Common Factor Method

Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676

Factors of 2445

List of positive integer factors of 2445 that divides 2445 without a remainder.

1,3,5,15,163,489,815,2445

Greatest Common Factor

We found the factors 5676,2445 . The biggest common factor number is the GCF number.
So the greatest common factor 5676,2445 is 3.

Lets's calculate LCM of 151,722

Given numbers has no common factors except 1. So, there LCM is their product i.e 109022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/109022

Therefore, the GCF of Fractions 5676/151,2445/722 is 3/109022

Least Common Multiple of 151,722 with GCF Formula

Least Common Multiple of 151,722 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 151,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,722) = 1

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

GCF(151,722) x common factors =1 x 1 = 1

LCM(151,722) = ( 151 × 722 ) / 1

LCM(151,722) = 109022 / 1

LCM(151,722) = 109022


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 5676/151, 2445/722

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 5676/151, 2445/722?

Answer: GCF of Numerators as per given numbers 5676/151, 2445/722 is

GCF of Numerators i.e. for 5676,2445 is 3

LCM of denominators i.e. for 151,722 is 109022.

Thus, GCF of Fractions is 3/109022.Finally, GCF of Fractions for 5676/151, 2445/722 is 3/109022.