Greatest Common Factor of 732/87, 729/22, 491/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 732/87, 729/22, 491/115

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 732/87,729/22,491/115

Given fractions are 732/87,729/22,491/115

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 732,729,491

Greatest Common Factor of Numerators i.e. GCF of 732,729,491 is 1 .

LCM of Denominators means LCM of 87,22,115 as per the given fractions.

LCM of 87,22,115 is 220110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 732,729,491

GCF of Fractions 732/87,729/22,491/115 is 1/220110

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

Greatest Common Factor of 732,729,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,729,491 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 732,729,491 . The biggest common factor number is the GCF number.
So the greatest common factor 732,729,491 is 1.

Lets's calculate LCM of 87,22,115

Given numbers has no common factors except 1. So, there LCM is their product i.e 220110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220110

Therefore, the GCF of Fractions 732/87,729/22,491/115 is 1/220110

Least Common Multiple of 87,22,115 with GCF Formula

Least Common Multiple of 87,22,115 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 87,22,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,22,115) = 1

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

GCF(87,22,115) x common factors =1 x 1 = 1

LCM(87,22,115) = ( 87 × 22 × 115 ) / 1

LCM(87,22,115) = 220110 / 1

LCM(87,22,115) = 220110


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 732/87, 729/22, 491/115

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 732/87, 729/22, 491/115?

Answer: GCF of Numerators as per given numbers 732/87, 729/22, 491/115 is

GCF of Numerators i.e. for 732,729,491 is 1

LCM of denominators i.e. for 87,22,115 is 220110.

Thus, GCF of Fractions is 1/220110.Finally, GCF of Fractions for 732/87, 729/22, 491/115 is 1/220110.