Greatest Common Factor of 627/344, 7608/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 627/344, 7608/500

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 627/344,7608/500

Given fractions are 627/344,7608/500

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 627,7608

Greatest Common Factor of Numerators i.e. GCF of 627,7608 is 3 .

LCM of Denominators means LCM of 344,500 as per the given fractions.

LCM of 344,500 is 43000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 627,7608

GCF of Fractions 627/344,7608/500 is 3/43000

3 627, 7608
209, 2536

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

Greatest Common Factor of 627,7608 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,7608 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608

Greatest Common Factor

We found the factors 627,7608 . The biggest common factor number is the GCF number.
So the greatest common factor 627,7608 is 3.

Lets's calculate LCM of 344,500

2 344, 500
2 172, 250
86, 125

∴ So the LCM of the given numbers is 2 x 2 x 86 x 125 = 43000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43000

Therefore, the GCF of Fractions 627/344,7608/500 is 3/43000

Least Common Multiple of 344,500 with GCF Formula

Least Common Multiple of 344,500 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 344,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,500) = 4

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

GCF(344,500) x common factors =4 x 1 = 4

LCM(344,500) = ( 344 × 500 ) / 4

LCM(344,500) = 172000 / 4

LCM(344,500) = 43000


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 627/344, 7608/500

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 627/344, 7608/500?

Answer: GCF of Numerators as per given numbers 627/344, 7608/500 is

GCF of Numerators i.e. for 627,7608 is 3

LCM of denominators i.e. for 344,500 is 43000.

Thus, GCF of Fractions is 3/43000.Finally, GCF of Fractions for 627/344, 7608/500 is 3/43000.