Greatest Common Factor of 731/965, 1020/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 731/965, 1020/285

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 731/965,1020/285

Given fractions are 731/965,1020/285

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 731,1020

Greatest Common Factor of Numerators i.e. GCF of 731,1020 is 17 .

LCM of Denominators means LCM of 965,285 as per the given fractions.

LCM of 965,285 is 55005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 731,1020

GCF of Fractions 731/965,1020/285 is 17/55005

17 731, 1020
43, 60

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 731,1020 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,1020 By Matching Biggest Common Factor Method

Factors of 731

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

1,17,43,731

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020

Greatest Common Factor

We found the factors 731,1020 . The biggest common factor number is the GCF number.
So the greatest common factor 731,1020 is 17.

Lets's calculate LCM of 965,285

5 965, 285
193, 57

∴ So the LCM of the given numbers is 5 x 193 x 57 = 55005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/55005

Therefore, the GCF of Fractions 731/965,1020/285 is 17/55005

Least Common Multiple of 965,285 with GCF Formula

Least Common Multiple of 965,285 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 965,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,285) = 5

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

GCF(965,285) x common factors =5 x 1 = 5

LCM(965,285) = ( 965 × 285 ) / 5

LCM(965,285) = 275025 / 5

LCM(965,285) = 55005


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 731/965, 1020/285

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 731/965, 1020/285?

Answer: GCF of Numerators as per given numbers 731/965, 1020/285 is

GCF of Numerators i.e. for 731,1020 is 17

LCM of denominators i.e. for 965,285 is 55005.

Thus, GCF of Fractions is 17/55005.Finally, GCF of Fractions for 731/965, 1020/285 is 17/55005.