Greatest Common Factor of 7479/980, 1224/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7479/980, 1224/232

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 7479/980,1224/232

Given fractions are 7479/980,1224/232

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 7479,1224

Greatest Common Factor of Numerators i.e. GCF of 7479,1224 is 9 .

LCM of Denominators means LCM of 980,232 as per the given fractions.

LCM of 980,232 is 56840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7479,1224

GCF of Fractions 7479/980,1224/232 is 9/56840

3 7479, 1224
3 2493, 408
831, 136

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7479,1224 By Matching Biggest Common Factor Method

Greatest Common Factor of 7479,1224 By Matching Biggest Common Factor Method

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1,3,9,27,277,831,2493,7479

Factors of 1224

List of positive integer factors of 1224 that divides 1224 without a remainder.

1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224

Greatest Common Factor

We found the factors 7479,1224 . The biggest common factor number is the GCF number.
So the greatest common factor 7479,1224 is 9.

Lets's calculate LCM of 980,232

2 980, 232
2 490, 116
245, 58

∴ So the LCM of the given numbers is 2 x 2 x 245 x 58 = 56840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/56840

Therefore, the GCF of Fractions 7479/980,1224/232 is 9/56840

Least Common Multiple of 980,232 with GCF Formula

Least Common Multiple of 980,232 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 980,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,232) = 4

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

GCF(980,232) x common factors =4 x 1 = 4

LCM(980,232) = ( 980 × 232 ) / 4

LCM(980,232) = 227360 / 4

LCM(980,232) = 56840


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 7479/980, 1224/232

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 7479/980, 1224/232?

Answer: GCF of Numerators as per given numbers 7479/980, 1224/232 is

GCF of Numerators i.e. for 7479,1224 is 9

LCM of denominators i.e. for 980,232 is 56840.

Thus, GCF of Fractions is 9/56840.Finally, GCF of Fractions for 7479/980, 1224/232 is 9/56840.