Greatest Common Factor of 965/83, 813/66, 731/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 965/83, 813/66, 731/202

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 965/83,813/66,731/202

Given fractions are 965/83,813/66,731/202

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 965,813,731

Greatest Common Factor of Numerators i.e. GCF of 965,813,731 is 1 .

LCM of Denominators means LCM of 83,66,202 as per the given fractions.

LCM of 83,66,202 is 553278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 965,813,731

GCF of Fractions 965/83,813/66,731/202 is 1/553278

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

Greatest Common Factor of 965,813,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,813,731 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 965,813,731 . The biggest common factor number is the GCF number.
So the greatest common factor 965,813,731 is 1.

Lets's calculate LCM of 83,66,202

2 83, 66, 202
83, 33, 101

∴ So the LCM of the given numbers is 2 x 83 x 33 x 101 = 553278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553278

Therefore, the GCF of Fractions 965/83,813/66,731/202 is 1/553278

Least Common Multiple of 83,66,202 with GCF Formula

Least Common Multiple of 83,66,202 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 83,66,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,66,202) = 1

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

GCF(83,66,202) x common factors =1 x 2 = 2

LCM(83,66,202) = ( 83 × 66 × 202 ) / 2

LCM(83,66,202) = 1106556 / 2

LCM(83,66,202) = 553278


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 965/83, 813/66, 731/202

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 965/83, 813/66, 731/202?

Answer: GCF of Numerators as per given numbers 965/83, 813/66, 731/202 is

GCF of Numerators i.e. for 965,813,731 is 1

LCM of denominators i.e. for 83,66,202 is 553278.

Thus, GCF of Fractions is 1/553278.Finally, GCF of Fractions for 965/83, 813/66, 731/202 is 1/553278.