Greatest Common Factor of 351/634, 138/616, 933/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/634, 138/616, 933/154

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 351/634,138/616,933/154

Given fractions are 351/634,138/616,933/154

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 351,138,933

Greatest Common Factor of Numerators i.e. GCF of 351,138,933 is 3 .

LCM of Denominators means LCM of 634,616,154 as per the given fractions.

LCM of 634,616,154 is 195272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,138,933

GCF of Fractions 351/634,138/616,933/154 is 3/195272

3 351, 138, 933
117, 46, 311

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

Greatest Common Factor of 351,138,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,138,933 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 351,138,933 . The biggest common factor number is the GCF number.
So the greatest common factor 351,138,933 is 3.

Lets's calculate LCM of 634,616,154

2 634, 616, 154
7 317, 308, 77
11 317, 44, 11
317, 4, 1

∴ So the LCM of the given numbers is 2 x 7 x 11 x 317 x 4 x 1 = 195272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/195272

Therefore, the GCF of Fractions 351/634,138/616,933/154 is 3/195272

Least Common Multiple of 634,616,154 with GCF Formula

Least Common Multiple of 634,616,154 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 634,616,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,616,154) = 2

common factors(in case of two or more numbers have common factors) = 154

GCF(634,616,154) x common factors =2 x 154 = 308

LCM(634,616,154) = ( 634 × 616 × 154 ) / 308

LCM(634,616,154) = 60143776 / 308

LCM(634,616,154) = 195272


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 351/634, 138/616, 933/154

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 351/634, 138/616, 933/154?

Answer: GCF of Numerators as per given numbers 351/634, 138/616, 933/154 is

GCF of Numerators i.e. for 351,138,933 is 3

LCM of denominators i.e. for 634,616,154 is 195272.

Thus, GCF of Fractions is 3/195272.Finally, GCF of Fractions for 351/634, 138/616, 933/154 is 3/195272.