Greatest Common Factor of 136/35, 380/40, 149/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 136/35, 380/40, 149/972

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 136/35,380/40,149/972

Given fractions are 136/35,380/40,149/972

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 136,380,149

Greatest Common Factor of Numerators i.e. GCF of 136,380,149 is 1 .

LCM of Denominators means LCM of 35,40,972 as per the given fractions.

LCM of 35,40,972 is 68040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 136,380,149

GCF of Fractions 136/35,380/40,149/972 is 1/68040

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

Greatest Common Factor of 136,380,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,380,149 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 136,380,149 . The biggest common factor number is the GCF number.
So the greatest common factor 136,380,149 is 1.

Lets's calculate LCM of 35,40,972

2 35, 40, 972
2 35, 20, 486
5 35, 10, 243
7, 2, 243

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 2 x 243 = 68040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68040

Therefore, the GCF of Fractions 136/35,380/40,149/972 is 1/68040

Least Common Multiple of 35,40,972 with GCF Formula

Least Common Multiple of 35,40,972 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 35,40,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,40,972) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(35,40,972) x common factors =1 x 20 = 20

LCM(35,40,972) = ( 35 × 40 × 972 ) / 20

LCM(35,40,972) = 1360800 / 20

LCM(35,40,972) = 68040


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 136/35, 380/40, 149/972

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 136/35, 380/40, 149/972?

Answer: GCF of Numerators as per given numbers 136/35, 380/40, 149/972 is

GCF of Numerators i.e. for 136,380,149 is 1

LCM of denominators i.e. for 35,40,972 is 68040.

Thus, GCF of Fractions is 1/68040.Finally, GCF of Fractions for 136/35, 380/40, 149/972 is 1/68040.