Greatest Common Factor of 65/68, 724/25, 287/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/68, 724/25, 287/131

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 65/68,724/25,287/131

Given fractions are 65/68,724/25,287/131

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 65,724,287

Greatest Common Factor of Numerators i.e. GCF of 65,724,287 is 1 .

LCM of Denominators means LCM of 68,25,131 as per the given fractions.

LCM of 68,25,131 is 222700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,724,287

GCF of Fractions 65/68,724/25,287/131 is 1/222700

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

Greatest Common Factor of 65,724,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,724,287 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 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 65,724,287 . The biggest common factor number is the GCF number.
So the greatest common factor 65,724,287 is 1.

Lets's calculate LCM of 68,25,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 222700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222700

Therefore, the GCF of Fractions 65/68,724/25,287/131 is 1/222700

Least Common Multiple of 68,25,131 with GCF Formula

Least Common Multiple of 68,25,131 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 68,25,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,25,131) = 1

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

GCF(68,25,131) x common factors =1 x 1 = 1

LCM(68,25,131) = ( 68 × 25 × 131 ) / 1

LCM(68,25,131) = 222700 / 1

LCM(68,25,131) = 222700


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 65/68, 724/25, 287/131

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 65/68, 724/25, 287/131?

Answer: GCF of Numerators as per given numbers 65/68, 724/25, 287/131 is

GCF of Numerators i.e. for 65,724,287 is 1

LCM of denominators i.e. for 68,25,131 is 222700.

Thus, GCF of Fractions is 1/222700.Finally, GCF of Fractions for 65/68, 724/25, 287/131 is 1/222700.