Greatest Common Factor of 625/609, 3990/1109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/609, 3990/1109

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 625/609,3990/1109

Given fractions are 625/609,3990/1109

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 625,3990

Greatest Common Factor of Numerators i.e. GCF of 625,3990 is 5 .

LCM of Denominators means LCM of 609,1109 as per the given fractions.

LCM of 609,1109 is 675381 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,3990

GCF of Fractions 625/609,3990/1109 is 5/675381

5 625, 3990
125, 798

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 625,3990 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,3990 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 3990

List of positive integer factors of 3990 that divides 3990 without a remainder.

1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990

Greatest Common Factor

We found the factors 625,3990 . The biggest common factor number is the GCF number.
So the greatest common factor 625,3990 is 5.

Lets's calculate LCM of 609,1109

Given numbers has no common factors except 1. So, there LCM is their product i.e 675381

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/675381

Therefore, the GCF of Fractions 625/609,3990/1109 is 5/675381

Least Common Multiple of 609,1109 with GCF Formula

Least Common Multiple of 609,1109 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 609,1109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,1109) = 1

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

GCF(609,1109) x common factors =1 x 1 = 1

LCM(609,1109) = ( 609 × 1109 ) / 1

LCM(609,1109) = 675381 / 1

LCM(609,1109) = 675381


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 625/609, 3990/1109

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 625/609, 3990/1109?

Answer: GCF of Numerators as per given numbers 625/609, 3990/1109 is

GCF of Numerators i.e. for 625,3990 is 5

LCM of denominators i.e. for 609,1109 is 675381.

Thus, GCF of Fractions is 5/675381.Finally, GCF of Fractions for 625/609, 3990/1109 is 5/675381.