Greatest Common Factor of 5948/132, 7518/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5948/132, 7518/898

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 5948/132,7518/898

Given fractions are 5948/132,7518/898

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 5948,7518

Greatest Common Factor of Numerators i.e. GCF of 5948,7518 is 2 .

LCM of Denominators means LCM of 132,898 as per the given fractions.

LCM of 132,898 is 59268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5948,7518

GCF of Fractions 5948/132,7518/898 is 2/59268

2 5948, 7518
2974, 3759

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5948,7518 By Matching Biggest Common Factor Method

Greatest Common Factor of 5948,7518 By Matching Biggest Common Factor Method

Factors of 5948

List of positive integer factors of 5948 that divides 5948 without a remainder.

1,2,4,1487,2974,5948

Factors of 7518

List of positive integer factors of 7518 that divides 7518 without a remainder.

1,2,3,6,7,14,21,42,179,358,537,1074,1253,2506,3759,7518

Greatest Common Factor

We found the factors 5948,7518 . The biggest common factor number is the GCF number.
So the greatest common factor 5948,7518 is 2.

Lets's calculate LCM of 132,898

2 132, 898
66, 449

∴ So the LCM of the given numbers is 2 x 66 x 449 = 59268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59268

Therefore, the GCF of Fractions 5948/132,7518/898 is 2/59268

Least Common Multiple of 132,898 with GCF Formula

Least Common Multiple of 132,898 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 132,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,898) = 2

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

GCF(132,898) x common factors =2 x 1 = 2

LCM(132,898) = ( 132 × 898 ) / 2

LCM(132,898) = 118536 / 2

LCM(132,898) = 59268


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 5948/132, 7518/898

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 5948/132, 7518/898?

Answer: GCF of Numerators as per given numbers 5948/132, 7518/898 is

GCF of Numerators i.e. for 5948,7518 is 2

LCM of denominators i.e. for 132,898 is 59268.

Thus, GCF of Fractions is 2/59268.Finally, GCF of Fractions for 5948/132, 7518/898 is 2/59268.