Greatest Common Factor of 201/95, 822/26, 252/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/95, 822/26, 252/28

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 201/95,822/26,252/28

Given fractions are 201/95,822/26,252/28

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 201,822,252

Greatest Common Factor of Numerators i.e. GCF of 201,822,252 is 3 .

LCM of Denominators means LCM of 95,26,28 as per the given fractions.

LCM of 95,26,28 is 34580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,822,252

GCF of Fractions 201/95,822/26,252/28 is 3/34580

3 201, 822, 252
67, 274, 84

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 201,822,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,822,252 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 201,822,252 . The biggest common factor number is the GCF number.
So the greatest common factor 201,822,252 is 3.

Lets's calculate LCM of 95,26,28

2 95, 26, 28
95, 13, 14

∴ So the LCM of the given numbers is 2 x 95 x 13 x 14 = 34580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34580

Therefore, the GCF of Fractions 201/95,822/26,252/28 is 3/34580

Least Common Multiple of 95,26,28 with GCF Formula

Least Common Multiple of 95,26,28 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 95,26,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,26,28) = 1

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

GCF(95,26,28) x common factors =1 x 2 = 2

LCM(95,26,28) = ( 95 × 26 × 28 ) / 2

LCM(95,26,28) = 69160 / 2

LCM(95,26,28) = 34580


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 201/95, 822/26, 252/28

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 201/95, 822/26, 252/28?

Answer: GCF of Numerators as per given numbers 201/95, 822/26, 252/28 is

GCF of Numerators i.e. for 201,822,252 is 3

LCM of denominators i.e. for 95,26,28 is 34580.

Thus, GCF of Fractions is 3/34580.Finally, GCF of Fractions for 201/95, 822/26, 252/28 is 3/34580.