Greatest Common Factor of 81/749, 914/908, 178/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/749, 914/908, 178/330

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 81/749,914/908,178/330

Given fractions are 81/749,914/908,178/330

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 81,914,178

Greatest Common Factor of Numerators i.e. GCF of 81,914,178 is 1 .

LCM of Denominators means LCM of 749,908,330 as per the given fractions.

LCM of 749,908,330 is 112215180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,914,178

GCF of Fractions 81/749,914/908,178/330 is 1/112215180

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

Greatest Common Factor of 81,914,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,914,178 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 914

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

1,2,457,914

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 81,914,178 . The biggest common factor number is the GCF number.
So the greatest common factor 81,914,178 is 1.

Lets's calculate LCM of 749,908,330

2 749, 908, 330
749, 454, 165

∴ So the LCM of the given numbers is 2 x 749 x 454 x 165 = 112215180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112215180

Therefore, the GCF of Fractions 81/749,914/908,178/330 is 1/112215180

Least Common Multiple of 749,908,330 with GCF Formula

Least Common Multiple of 749,908,330 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 749,908,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,908,330) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(749,908,330) x common factors =1 x 2 = 2

LCM(749,908,330) = ( 749 × 908 × 330 ) / 2

LCM(749,908,330) = 224430360 / 2

LCM(749,908,330) = 112215180


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 81/749, 914/908, 178/330

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 81/749, 914/908, 178/330?

Answer: GCF of Numerators as per given numbers 81/749, 914/908, 178/330 is

GCF of Numerators i.e. for 81,914,178 is 1

LCM of denominators i.e. for 749,908,330 is 112215180.

Thus, GCF of Fractions is 1/112215180.Finally, GCF of Fractions for 81/749, 914/908, 178/330 is 1/112215180.