Greatest Common Factor of 8/22, 51/19, 51/172, 170/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/22, 51/19, 51/172, 170/637

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 8/22,51/19,51/172,170/637

Given fractions are 8/22,51/19,51/172,170/637

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 8,51,51,170

Greatest Common Factor of Numerators i.e. GCF of 8,51,51,170 is 1 .

LCM of Denominators means LCM of 22,19,172,637 as per the given fractions.

LCM of 22,19,172,637 is 22898876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,51,51,170

GCF of Fractions 8/22,51/19,51/172,170/637 is 1/22898876

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

Greatest Common Factor of 8,51,51,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,51,51,170 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 8,51,51,170 . The biggest common factor number is the GCF number.
So the greatest common factor 8,51,51,170 is 1.

Lets's calculate LCM of 22,19,172,637

2 22, 19, 172, 637
11, 19, 86, 637

∴ So the LCM of the given numbers is 2 x 11 x 19 x 86 x 637 = 22898876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22898876

Therefore, the GCF of Fractions 8/22,51/19,51/172,170/637 is 1/22898876

Least Common Multiple of 22,19,172,637 with GCF Formula

Least Common Multiple of 22,19,172,637 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 22,19,172,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,19,172,637) = 1

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

GCF(22,19,172,637) x common factors =1 x 2 = 2

LCM(22,19,172,637) = ( 22 × 19 × 172 × 637 ) / 2

LCM(22,19,172,637) = 45797752 / 2

LCM(22,19,172,637) = 22898876


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 8/22, 51/19, 51/172, 170/637

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 8/22, 51/19, 51/172, 170/637?

Answer: GCF of Numerators as per given numbers 8/22, 51/19, 51/172, 170/637 is

GCF of Numerators i.e. for 8,51,51,170 is 1

LCM of denominators i.e. for 22,19,172,637 is 22898876.

Thus, GCF of Fractions is 1/22898876.Finally, GCF of Fractions for 8/22, 51/19, 51/172, 170/637 is 1/22898876.