Greatest Common Factor of 408/938, 4059/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/938, 4059/135

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 408/938,4059/135

Given fractions are 408/938,4059/135

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 408,4059

Greatest Common Factor of Numerators i.e. GCF of 408,4059 is 3 .

LCM of Denominators means LCM of 938,135 as per the given fractions.

LCM of 938,135 is 126630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,4059

GCF of Fractions 408/938,4059/135 is 3/126630

3 408, 4059
136, 1353

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

Greatest Common Factor of 408,4059 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,4059 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 4059

List of positive integer factors of 4059 that divides 4059 without a remainder.

1,3,9,11,33,41,99,123,369,451,1353,4059

Greatest Common Factor

We found the factors 408,4059 . The biggest common factor number is the GCF number.
So the greatest common factor 408,4059 is 3.

Lets's calculate LCM of 938,135

Given numbers has no common factors except 1. So, there LCM is their product i.e 126630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/126630

Therefore, the GCF of Fractions 408/938,4059/135 is 3/126630

Least Common Multiple of 938,135 with GCF Formula

Least Common Multiple of 938,135 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 938,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,135) = 1

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

GCF(938,135) x common factors =1 x 1 = 1

LCM(938,135) = ( 938 × 135 ) / 1

LCM(938,135) = 126630 / 1

LCM(938,135) = 126630


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 408/938, 4059/135

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 408/938, 4059/135?

Answer: GCF of Numerators as per given numbers 408/938, 4059/135 is

GCF of Numerators i.e. for 408,4059 is 3

LCM of denominators i.e. for 938,135 is 126630.

Thus, GCF of Fractions is 3/126630.Finally, GCF of Fractions for 408/938, 4059/135 is 3/126630.