Greatest Common Factor of 5064/972, 2719/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5064/972, 2719/292

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 5064/972,2719/292

Given fractions are 5064/972,2719/292

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 5064,2719

Greatest Common Factor of Numerators i.e. GCF of 5064,2719 is 1 .

LCM of Denominators means LCM of 972,292 as per the given fractions.

LCM of 972,292 is 70956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5064,2719

GCF of Fractions 5064/972,2719/292 is 1/70956

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

Greatest Common Factor of 5064,2719 By Matching Biggest Common Factor Method

Greatest Common Factor of 5064,2719 By Matching Biggest Common Factor Method

Factors of 5064

List of positive integer factors of 5064 that divides 5064 without a remainder.

1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064

Factors of 2719

List of positive integer factors of 2719 that divides 2719 without a remainder.

1,2719

Greatest Common Factor

We found the factors 5064,2719 . The biggest common factor number is the GCF number.
So the greatest common factor 5064,2719 is 1.

Lets's calculate LCM of 972,292

2 972, 292
2 486, 146
243, 73

∴ So the LCM of the given numbers is 2 x 2 x 243 x 73 = 70956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70956

Therefore, the GCF of Fractions 5064/972,2719/292 is 1/70956

Least Common Multiple of 972,292 with GCF Formula

Least Common Multiple of 972,292 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 972,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,292) = 4

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

GCF(972,292) x common factors =4 x 1 = 4

LCM(972,292) = ( 972 × 292 ) / 4

LCM(972,292) = 283824 / 4

LCM(972,292) = 70956


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 5064/972, 2719/292

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 5064/972, 2719/292?

Answer: GCF of Numerators as per given numbers 5064/972, 2719/292 is

GCF of Numerators i.e. for 5064,2719 is 1

LCM of denominators i.e. for 972,292 is 70956.

Thus, GCF of Fractions is 1/70956.Finally, GCF of Fractions for 5064/972, 2719/292 is 1/70956.