Greatest Common Factor of 65/22, 64/50, 171/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/22, 64/50, 171/286

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 65/22,64/50,171/286

Given fractions are 65/22,64/50,171/286

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 65,64,171

Greatest Common Factor of Numerators i.e. GCF of 65,64,171 is 1 .

LCM of Denominators means LCM of 22,50,286 as per the given fractions.

LCM of 22,50,286 is 7150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,64,171

GCF of Fractions 65/22,64/50,171/286 is 1/7150

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

Greatest Common Factor of 65,64,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,64,171 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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 65,64,171 . The biggest common factor number is the GCF number.
So the greatest common factor 65,64,171 is 1.

Lets's calculate LCM of 22,50,286

2 22, 50, 286
11 11, 25, 143
1, 25, 13

∴ So the LCM of the given numbers is 2 x 11 x 1 x 25 x 13 = 7150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7150

Therefore, the GCF of Fractions 65/22,64/50,171/286 is 1/7150

Least Common Multiple of 22,50,286 with GCF Formula

Least Common Multiple of 22,50,286 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 22,50,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,50,286) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(22,50,286) x common factors =2 x 22 = 44

LCM(22,50,286) = ( 22 × 50 × 286 ) / 44

LCM(22,50,286) = 314600 / 44

LCM(22,50,286) = 7150


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 65/22, 64/50, 171/286

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 65/22, 64/50, 171/286?

Answer: GCF of Numerators as per given numbers 65/22, 64/50, 171/286 is

GCF of Numerators i.e. for 65,64,171 is 1

LCM of denominators i.e. for 22,50,286 is 7150.

Thus, GCF of Fractions is 1/7150.Finally, GCF of Fractions for 65/22, 64/50, 171/286 is 1/7150.