Greatest Common Factor of 374/735, 715/711, 154/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 374/735, 715/711, 154/842

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 374/735,715/711,154/842

Given fractions are 374/735,715/711,154/842

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 374,715,154

Greatest Common Factor of Numerators i.e. GCF of 374,715,154 is 11 .

LCM of Denominators means LCM of 735,711,842 as per the given fractions.

LCM of 735,711,842 is 146672190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 374,715,154

GCF of Fractions 374/735,715/711,154/842 is 11/146672190

11 374, 715, 154
34, 65, 14

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 374,715,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,715,154 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 374,715,154 . The biggest common factor number is the GCF number.
So the greatest common factor 374,715,154 is 11.

Lets's calculate LCM of 735,711,842

3 735, 711, 842
245, 237, 842

∴ So the LCM of the given numbers is 3 x 245 x 237 x 842 = 146672190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/146672190

Therefore, the GCF of Fractions 374/735,715/711,154/842 is 11/146672190

Least Common Multiple of 735,711,842 with GCF Formula

Least Common Multiple of 735,711,842 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 735,711,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,711,842) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(735,711,842) x common factors =1 x 3 = 3

LCM(735,711,842) = ( 735 × 711 × 842 ) / 3

LCM(735,711,842) = 440016570 / 3

LCM(735,711,842) = 146672190


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 374/735, 715/711, 154/842

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 374/735, 715/711, 154/842?

Answer: GCF of Numerators as per given numbers 374/735, 715/711, 154/842 is

GCF of Numerators i.e. for 374,715,154 is 11

LCM of denominators i.e. for 735,711,842 is 146672190.

Thus, GCF of Fractions is 11/146672190.Finally, GCF of Fractions for 374/735, 715/711, 154/842 is 11/146672190.