Greatest Common Factor of 370/96, 155/9108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 370/96, 155/9108

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 370/96,155/9108

Given fractions are 370/96,155/9108

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 370,155

Greatest Common Factor of Numerators i.e. GCF of 370,155 is 5 .

LCM of Denominators means LCM of 96,9108 as per the given fractions.

LCM of 96,9108 is 72864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 370,155

GCF of Fractions 370/96,155/9108 is 5/72864

5 370, 155
74, 31

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 370,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,155 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 370,155 . The biggest common factor number is the GCF number.
So the greatest common factor 370,155 is 5.

Lets's calculate LCM of 96,9108

2 96, 9108
2 48, 4554
3 24, 2277
8, 759

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 759 = 72864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/72864

Therefore, the GCF of Fractions 370/96,155/9108 is 5/72864

Least Common Multiple of 96,9108 with GCF Formula

Least Common Multiple of 96,9108 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 96,9108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,9108) = 12

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

GCF(96,9108) x common factors =12 x 1 = 12

LCM(96,9108) = ( 96 × 9108 ) / 12

LCM(96,9108) = 874368 / 12

LCM(96,9108) = 72864


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 370/96, 155/9108

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 370/96, 155/9108?

Answer: GCF of Numerators as per given numbers 370/96, 155/9108 is

GCF of Numerators i.e. for 370,155 is 5

LCM of denominators i.e. for 96,9108 is 72864.

Thus, GCF of Fractions is 5/72864.Finally, GCF of Fractions for 370/96, 155/9108 is 5/72864.