Greatest Common Factor of 95/318, 113/108, 909/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/318, 113/108, 909/566

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 95/318,113/108,909/566

Given fractions are 95/318,113/108,909/566

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 95,113,909

Greatest Common Factor of Numerators i.e. GCF of 95,113,909 is 1 .

LCM of Denominators means LCM of 318,108,566 as per the given fractions.

LCM of 318,108,566 is 1619892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,113,909

GCF of Fractions 95/318,113/108,909/566 is 1/1619892

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

Greatest Common Factor of 95,113,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,113,909 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 95,113,909 . The biggest common factor number is the GCF number.
So the greatest common factor 95,113,909 is 1.

Lets's calculate LCM of 318,108,566

2 318, 108, 566
3 159, 54, 283
53, 18, 283

∴ So the LCM of the given numbers is 2 x 3 x 53 x 18 x 283 = 1619892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1619892

Therefore, the GCF of Fractions 95/318,113/108,909/566 is 1/1619892

Least Common Multiple of 318,108,566 with GCF Formula

Least Common Multiple of 318,108,566 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 318,108,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,108,566) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(318,108,566) x common factors =2 x 6 = 12

LCM(318,108,566) = ( 318 × 108 × 566 ) / 12

LCM(318,108,566) = 19438704 / 12

LCM(318,108,566) = 1619892


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 95/318, 113/108, 909/566

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 95/318, 113/108, 909/566?

Answer: GCF of Numerators as per given numbers 95/318, 113/108, 909/566 is

GCF of Numerators i.e. for 95,113,909 is 1

LCM of denominators i.e. for 318,108,566 is 1619892.

Thus, GCF of Fractions is 1/1619892.Finally, GCF of Fractions for 95/318, 113/108, 909/566 is 1/1619892.