Greatest Common Factor of 644/90, 5170/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/90, 5170/359

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 644/90,5170/359

Given fractions are 644/90,5170/359

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 644,5170

Greatest Common Factor of Numerators i.e. GCF of 644,5170 is 2 .

LCM of Denominators means LCM of 90,359 as per the given fractions.

LCM of 90,359 is 32310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,5170

GCF of Fractions 644/90,5170/359 is 2/32310

2 644, 5170
322, 2585

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

Greatest Common Factor of 644,5170 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,5170 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 5170

List of positive integer factors of 5170 that divides 5170 without a remainder.

1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170

Greatest Common Factor

We found the factors 644,5170 . The biggest common factor number is the GCF number.
So the greatest common factor 644,5170 is 2.

Lets's calculate LCM of 90,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 32310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32310

Therefore, the GCF of Fractions 644/90,5170/359 is 2/32310

Least Common Multiple of 90,359 with GCF Formula

Least Common Multiple of 90,359 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 90,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,359) = 1

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

GCF(90,359) x common factors =1 x 1 = 1

LCM(90,359) = ( 90 × 359 ) / 1

LCM(90,359) = 32310 / 1

LCM(90,359) = 32310


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 644/90, 5170/359

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 644/90, 5170/359?

Answer: GCF of Numerators as per given numbers 644/90, 5170/359 is

GCF of Numerators i.e. for 644,5170 is 2

LCM of denominators i.e. for 90,359 is 32310.

Thus, GCF of Fractions is 2/32310.Finally, GCF of Fractions for 644/90, 5170/359 is 2/32310.