Greatest Common Factor of 101/81, 909/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 101/81, 909/767

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 101/81,909/767

Given fractions are 101/81,909/767

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 101,909

Greatest Common Factor of Numerators i.e. GCF of 101,909 is 101 .

LCM of Denominators means LCM of 81,767 as per the given fractions.

LCM of 81,767 is 62127 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 101,909

GCF of Fractions 101/81,909/767 is 101/62127

101 101, 909
1, 9

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 101,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,909 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

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 101,909 . The biggest common factor number is the GCF number.
So the greatest common factor 101,909 is 101.

Lets's calculate LCM of 81,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 62127

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/62127

Therefore, the GCF of Fractions 101/81,909/767 is 101/62127

Least Common Multiple of 81,767 with GCF Formula

Least Common Multiple of 81,767 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 81,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,767) = 1

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

GCF(81,767) x common factors =1 x 1 = 1

LCM(81,767) = ( 81 × 767 ) / 1

LCM(81,767) = 62127 / 1

LCM(81,767) = 62127


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 101/81, 909/767

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 101/81, 909/767?

Answer: GCF of Numerators as per given numbers 101/81, 909/767 is

GCF of Numerators i.e. for 101,909 is 101

LCM of denominators i.e. for 81,767 is 62127.

Thus, GCF of Fractions is 101/62127.Finally, GCF of Fractions for 101/81, 909/767 is 101/62127.