Greatest Common Factor of 96/37, 316/94, 914/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/37, 316/94, 914/867

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 96/37,316/94,914/867

Given fractions are 96/37,316/94,914/867

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 96,316,914

Greatest Common Factor of Numerators i.e. GCF of 96,316,914 is 2 .

LCM of Denominators means LCM of 37,94,867 as per the given fractions.

LCM of 37,94,867 is 3015426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,316,914

GCF of Fractions 96/37,316/94,914/867 is 2/3015426

2 96, 316, 914
48, 158, 457

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 96,316,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,316,914 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 96,316,914 . The biggest common factor number is the GCF number.
So the greatest common factor 96,316,914 is 2.

Lets's calculate LCM of 37,94,867

Given numbers has no common factors except 1. So, there LCM is their product i.e 3015426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3015426

Therefore, the GCF of Fractions 96/37,316/94,914/867 is 2/3015426

Least Common Multiple of 37,94,867 with GCF Formula

Least Common Multiple of 37,94,867 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 37,94,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,94,867) = 1

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

GCF(37,94,867) x common factors =1 x 1 = 1

LCM(37,94,867) = ( 37 × 94 × 867 ) / 1

LCM(37,94,867) = 3015426 / 1

LCM(37,94,867) = 3015426


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 96/37, 316/94, 914/867

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 96/37, 316/94, 914/867?

Answer: GCF of Numerators as per given numbers 96/37, 316/94, 914/867 is

GCF of Numerators i.e. for 96,316,914 is 2

LCM of denominators i.e. for 37,94,867 is 3015426.

Thus, GCF of Fractions is 2/3015426.Finally, GCF of Fractions for 96/37, 316/94, 914/867 is 2/3015426.