Greatest Common Factor of 636/59, 902/17, 626/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 636/59, 902/17, 626/21

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 636/59,902/17,626/21

Given fractions are 636/59,902/17,626/21

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 636,902,626

Greatest Common Factor of Numerators i.e. GCF of 636,902,626 is 2 .

LCM of Denominators means LCM of 59,17,21 as per the given fractions.

LCM of 59,17,21 is 21063 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 636,902,626

GCF of Fractions 636/59,902/17,626/21 is 2/21063

2 636, 902, 626
318, 451, 313

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 636,902,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,902,626 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 636,902,626 . The biggest common factor number is the GCF number.
So the greatest common factor 636,902,626 is 2.

Lets's calculate LCM of 59,17,21

Given numbers has no common factors except 1. So, there LCM is their product i.e 21063

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21063

Therefore, the GCF of Fractions 636/59,902/17,626/21 is 2/21063

Least Common Multiple of 59,17,21 with GCF Formula

Least Common Multiple of 59,17,21 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 59,17,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,17,21) = 1

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

GCF(59,17,21) x common factors =1 x 1 = 1

LCM(59,17,21) = ( 59 × 17 × 21 ) / 1

LCM(59,17,21) = 21063 / 1

LCM(59,17,21) = 21063


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 636/59, 902/17, 626/21

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 636/59, 902/17, 626/21?

Answer: GCF of Numerators as per given numbers 636/59, 902/17, 626/21 is

GCF of Numerators i.e. for 636,902,626 is 2

LCM of denominators i.e. for 59,17,21 is 21063.

Thus, GCF of Fractions is 2/21063.Finally, GCF of Fractions for 636/59, 902/17, 626/21 is 2/21063.