Greatest Common Factor of 5724/452, 2965/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5724/452, 2965/848

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 5724/452,2965/848

Given fractions are 5724/452,2965/848

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 5724,2965

Greatest Common Factor of Numerators i.e. GCF of 5724,2965 is 1 .

LCM of Denominators means LCM of 452,848 as per the given fractions.

LCM of 452,848 is 95824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5724,2965

GCF of Fractions 5724/452,2965/848 is 1/95824

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

Greatest Common Factor of 5724,2965 By Matching Biggest Common Factor Method

Greatest Common Factor of 5724,2965 By Matching Biggest Common Factor Method

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Factors of 2965

List of positive integer factors of 2965 that divides 2965 without a remainder.

1,5,593,2965

Greatest Common Factor

We found the factors 5724,2965 . The biggest common factor number is the GCF number.
So the greatest common factor 5724,2965 is 1.

Lets's calculate LCM of 452,848

2 452, 848
2 226, 424
113, 212

∴ So the LCM of the given numbers is 2 x 2 x 113 x 212 = 95824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95824

Therefore, the GCF of Fractions 5724/452,2965/848 is 1/95824

Least Common Multiple of 452,848 with GCF Formula

Least Common Multiple of 452,848 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 452,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,848) = 4

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

GCF(452,848) x common factors =4 x 1 = 4

LCM(452,848) = ( 452 × 848 ) / 4

LCM(452,848) = 383296 / 4

LCM(452,848) = 95824


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 5724/452, 2965/848

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 5724/452, 2965/848?

Answer: GCF of Numerators as per given numbers 5724/452, 2965/848 is

GCF of Numerators i.e. for 5724,2965 is 1

LCM of denominators i.e. for 452,848 is 95824.

Thus, GCF of Fractions is 1/95824.Finally, GCF of Fractions for 5724/452, 2965/848 is 1/95824.