Greatest Common Factor of 108/268, 7038/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 108/268, 7038/284

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 108/268,7038/284

Given fractions are 108/268,7038/284

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 108,7038

Greatest Common Factor of Numerators i.e. GCF of 108,7038 is 18 .

LCM of Denominators means LCM of 268,284 as per the given fractions.

LCM of 268,284 is 19028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 108,7038

GCF of Fractions 108/268,7038/284 is 18/19028

2 108, 7038
3 54, 3519
3 18, 1173
6, 391

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 108,7038 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,7038 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 7038

List of positive integer factors of 7038 that divides 7038 without a remainder.

1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038

Greatest Common Factor

We found the factors 108,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 108,7038 is 18.

Lets's calculate LCM of 268,284

2 268, 284
2 134, 142
67, 71

∴ So the LCM of the given numbers is 2 x 2 x 67 x 71 = 19028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/19028

Therefore, the GCF of Fractions 108/268,7038/284 is 18/19028

Least Common Multiple of 268,284 with GCF Formula

Least Common Multiple of 268,284 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 268,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,284) = 4

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

GCF(268,284) x common factors =4 x 1 = 4

LCM(268,284) = ( 268 × 284 ) / 4

LCM(268,284) = 76112 / 4

LCM(268,284) = 19028


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 108/268, 7038/284

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 108/268, 7038/284?

Answer: GCF of Numerators as per given numbers 108/268, 7038/284 is

GCF of Numerators i.e. for 108,7038 is 18

LCM of denominators i.e. for 268,284 is 19028.

Thus, GCF of Fractions is 18/19028.Finally, GCF of Fractions for 108/268, 7038/284 is 18/19028.