Greatest Common Factor of 1296/979, 5232/2414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1296/979, 5232/2414

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 1296/979,5232/2414

Given fractions are 1296/979,5232/2414

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 1296,5232

Greatest Common Factor of Numerators i.e. GCF of 1296,5232 is 48 .

LCM of Denominators means LCM of 979,2414 as per the given fractions.

LCM of 979,2414 is 2363306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1296,5232

GCF of Fractions 1296/979,5232/2414 is 48/2363306

2 1296, 5232
2 648, 2616
2 324, 1308
2 162, 654
3 81, 327
27, 109

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 1296,5232 By Matching Biggest Common Factor Method

Greatest Common Factor of 1296,5232 By Matching Biggest Common Factor Method

Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296

Factors of 5232

List of positive integer factors of 5232 that divides 5232 without a remainder.

1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232

Greatest Common Factor

We found the factors 1296,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 1296,5232 is 48.

Lets's calculate LCM of 979,2414

Given numbers has no common factors except 1. So, there LCM is their product i.e 2363306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/2363306

Therefore, the GCF of Fractions 1296/979,5232/2414 is 48/2363306

Least Common Multiple of 979,2414 with GCF Formula

Least Common Multiple of 979,2414 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 979,2414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,2414) = 1

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

GCF(979,2414) x common factors =1 x 1 = 1

LCM(979,2414) = ( 979 × 2414 ) / 1

LCM(979,2414) = 2363306 / 1

LCM(979,2414) = 2363306


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 1296/979, 5232/2414

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 1296/979, 5232/2414?

Answer: GCF of Numerators as per given numbers 1296/979, 5232/2414 is

GCF of Numerators i.e. for 1296,5232 is 48

LCM of denominators i.e. for 979,2414 is 2363306.

Thus, GCF of Fractions is 48/2363306.Finally, GCF of Fractions for 1296/979, 5232/2414 is 48/2363306.