Greatest Common Factor of 7176/296, 1223/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7176/296, 1223/518

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 7176/296,1223/518

Given fractions are 7176/296,1223/518

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 7176,1223

Greatest Common Factor of Numerators i.e. GCF of 7176,1223 is 1 .

LCM of Denominators means LCM of 296,518 as per the given fractions.

LCM of 296,518 is 2072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7176,1223

GCF of Fractions 7176/296,1223/518 is 1/2072

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

Greatest Common Factor of 7176,1223 By Matching Biggest Common Factor Method

Greatest Common Factor of 7176,1223 By Matching Biggest Common Factor Method

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176

Factors of 1223

List of positive integer factors of 1223 that divides 1223 without a remainder.

1,1223

Greatest Common Factor

We found the factors 7176,1223 . The biggest common factor number is the GCF number.
So the greatest common factor 7176,1223 is 1.

Lets's calculate LCM of 296,518

2 296, 518
37 148, 259
4, 7

∴ So the LCM of the given numbers is 2 x 37 x 4 x 7 = 2072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2072

Therefore, the GCF of Fractions 7176/296,1223/518 is 1/2072

Least Common Multiple of 296,518 with GCF Formula

Least Common Multiple of 296,518 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 296,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,518) = 74

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

GCF(296,518) x common factors =74 x 1 = 74

LCM(296,518) = ( 296 × 518 ) / 74

LCM(296,518) = 153328 / 74

LCM(296,518) = 2072


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 7176/296, 1223/518

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 7176/296, 1223/518?

Answer: GCF of Numerators as per given numbers 7176/296, 1223/518 is

GCF of Numerators i.e. for 7176,1223 is 1

LCM of denominators i.e. for 296,518 is 2072.

Thus, GCF of Fractions is 1/2072.Finally, GCF of Fractions for 7176/296, 1223/518 is 1/2072.