Greatest Common Factor of 626/219, 2918/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 626/219, 2918/145

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 626/219,2918/145

Given fractions are 626/219,2918/145

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 626,2918

Greatest Common Factor of Numerators i.e. GCF of 626,2918 is 2 .

LCM of Denominators means LCM of 219,145 as per the given fractions.

LCM of 219,145 is 31755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 626,2918

GCF of Fractions 626/219,2918/145 is 2/31755

2 626, 2918
313, 1459

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

Greatest Common Factor of 626,2918 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,2918 By Matching Biggest Common Factor Method

Factors of 626

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

1,2,313,626

Factors of 2918

List of positive integer factors of 2918 that divides 2918 without a remainder.

1,2,1459,2918

Greatest Common Factor

We found the factors 626,2918 . The biggest common factor number is the GCF number.
So the greatest common factor 626,2918 is 2.

Lets's calculate LCM of 219,145

Given numbers has no common factors except 1. So, there LCM is their product i.e 31755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31755

Therefore, the GCF of Fractions 626/219,2918/145 is 2/31755

Least Common Multiple of 219,145 with GCF Formula

Least Common Multiple of 219,145 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 219,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,145) = 1

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

GCF(219,145) x common factors =1 x 1 = 1

LCM(219,145) = ( 219 × 145 ) / 1

LCM(219,145) = 31755 / 1

LCM(219,145) = 31755


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 626/219, 2918/145

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 626/219, 2918/145?

Answer: GCF of Numerators as per given numbers 626/219, 2918/145 is

GCF of Numerators i.e. for 626,2918 is 2

LCM of denominators i.e. for 219,145 is 31755.

Thus, GCF of Fractions is 2/31755.Finally, GCF of Fractions for 626/219, 2918/145 is 2/31755.