Greatest Common Factor of 65/63, 95/22, 107/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/63, 95/22, 107/864

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 65/63,95/22,107/864

Given fractions are 65/63,95/22,107/864

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 65,95,107

Greatest Common Factor of Numerators i.e. GCF of 65,95,107 is 1 .

LCM of Denominators means LCM of 63,22,864 as per the given fractions.

LCM of 63,22,864 is 66528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,95,107

GCF of Fractions 65/63,95/22,107/864 is 1/66528

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

Greatest Common Factor of 65,95,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,95,107 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 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 65,95,107 . The biggest common factor number is the GCF number.
So the greatest common factor 65,95,107 is 1.

Lets's calculate LCM of 63,22,864

2 63, 22, 864
3 63, 11, 432
3 21, 11, 144
7, 11, 48

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 11 x 48 = 66528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66528

Therefore, the GCF of Fractions 65/63,95/22,107/864 is 1/66528

Least Common Multiple of 63,22,864 with GCF Formula

Least Common Multiple of 63,22,864 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 63,22,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,22,864) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(63,22,864) x common factors =1 x 18 = 18

LCM(63,22,864) = ( 63 × 22 × 864 ) / 18

LCM(63,22,864) = 1197504 / 18

LCM(63,22,864) = 66528


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 65/63, 95/22, 107/864

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 65/63, 95/22, 107/864?

Answer: GCF of Numerators as per given numbers 65/63, 95/22, 107/864 is

GCF of Numerators i.e. for 65,95,107 is 1

LCM of denominators i.e. for 63,22,864 is 66528.

Thus, GCF of Fractions is 1/66528.Finally, GCF of Fractions for 65/63, 95/22, 107/864 is 1/66528.