Greatest Common Factor of 65/75, 87/86, 745/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/75, 87/86, 745/722

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 65/75,87/86,745/722

Given fractions are 65/75,87/86,745/722

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 65,87,745

Greatest Common Factor of Numerators i.e. GCF of 65,87,745 is 1 .

LCM of Denominators means LCM of 75,86,722 as per the given fractions.

LCM of 75,86,722 is 2328450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,87,745

GCF of Fractions 65/75,87/86,745/722 is 1/2328450

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

Greatest Common Factor of 65,87,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,87,745 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 65,87,745 . The biggest common factor number is the GCF number.
So the greatest common factor 65,87,745 is 1.

Lets's calculate LCM of 75,86,722

2 75, 86, 722
75, 43, 361

∴ So the LCM of the given numbers is 2 x 75 x 43 x 361 = 2328450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2328450

Therefore, the GCF of Fractions 65/75,87/86,745/722 is 1/2328450

Least Common Multiple of 75,86,722 with GCF Formula

Least Common Multiple of 75,86,722 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 75,86,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,86,722) = 1

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

GCF(75,86,722) x common factors =1 x 2 = 2

LCM(75,86,722) = ( 75 × 86 × 722 ) / 2

LCM(75,86,722) = 4656900 / 2

LCM(75,86,722) = 2328450


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 65/75, 87/86, 745/722

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 65/75, 87/86, 745/722?

Answer: GCF of Numerators as per given numbers 65/75, 87/86, 745/722 is

GCF of Numerators i.e. for 65,87,745 is 1

LCM of denominators i.e. for 75,86,722 is 2328450.

Thus, GCF of Fractions is 1/2328450.Finally, GCF of Fractions for 65/75, 87/86, 745/722 is 1/2328450.