Greatest Common Factor of 65/75, 41/543, 429/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/75, 41/543, 429/865

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 65/75,41/543,429/865

Given fractions are 65/75,41/543,429/865

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 65,41,429

Greatest Common Factor of Numerators i.e. GCF of 65,41,429 is 1 .

LCM of Denominators means LCM of 75,543,865 as per the given fractions.

LCM of 75,543,865 is 2348475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,41,429

GCF of Fractions 65/75,41/543,429/865 is 1/2348475

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

Greatest Common Factor of 65,41,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,41,429 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 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 65,41,429 . The biggest common factor number is the GCF number.
So the greatest common factor 65,41,429 is 1.

Lets's calculate LCM of 75,543,865

3 75, 543, 865
5 25, 181, 865
5, 181, 173

∴ So the LCM of the given numbers is 3 x 5 x 5 x 181 x 173 = 2348475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2348475

Therefore, the GCF of Fractions 65/75,41/543,429/865 is 1/2348475

Least Common Multiple of 75,543,865 with GCF Formula

Least Common Multiple of 75,543,865 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 75,543,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,543,865) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,543,865) x common factors =1 x 15 = 15

LCM(75,543,865) = ( 75 × 543 × 865 ) / 15

LCM(75,543,865) = 35227125 / 15

LCM(75,543,865) = 2348475


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, 41/543, 429/865

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, 41/543, 429/865?

Answer: GCF of Numerators as per given numbers 65/75, 41/543, 429/865 is

GCF of Numerators i.e. for 65,41,429 is 1

LCM of denominators i.e. for 75,543,865 is 2348475.

Thus, GCF of Fractions is 1/2348475.Finally, GCF of Fractions for 65/75, 41/543, 429/865 is 1/2348475.