Greatest Common Factor of 38/295, 635/515, 204/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/295, 635/515, 204/129

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 38/295,635/515,204/129

Given fractions are 38/295,635/515,204/129

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 38,635,204

Greatest Common Factor of Numerators i.e. GCF of 38,635,204 is 1 .

LCM of Denominators means LCM of 295,515,129 as per the given fractions.

LCM of 295,515,129 is 3919665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,635,204

GCF of Fractions 38/295,635/515,204/129 is 1/3919665

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

Greatest Common Factor of 38,635,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,635,204 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 38,635,204 . The biggest common factor number is the GCF number.
So the greatest common factor 38,635,204 is 1.

Lets's calculate LCM of 295,515,129

5 295, 515, 129
59, 103, 129

∴ So the LCM of the given numbers is 5 x 59 x 103 x 129 = 3919665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3919665

Therefore, the GCF of Fractions 38/295,635/515,204/129 is 1/3919665

Least Common Multiple of 295,515,129 with GCF Formula

Least Common Multiple of 295,515,129 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 295,515,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,515,129) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(295,515,129) x common factors =1 x 5 = 5

LCM(295,515,129) = ( 295 × 515 × 129 ) / 5

LCM(295,515,129) = 19598325 / 5

LCM(295,515,129) = 3919665


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 38/295, 635/515, 204/129

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 38/295, 635/515, 204/129?

Answer: GCF of Numerators as per given numbers 38/295, 635/515, 204/129 is

GCF of Numerators i.e. for 38,635,204 is 1

LCM of denominators i.e. for 295,515,129 is 3919665.

Thus, GCF of Fractions is 1/3919665.Finally, GCF of Fractions for 38/295, 635/515, 204/129 is 1/3919665.