Greatest Common Factor of 4140/995, 5385/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4140/995, 5385/625

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 4140/995,5385/625

Given fractions are 4140/995,5385/625

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 4140,5385

Greatest Common Factor of Numerators i.e. GCF of 4140,5385 is 15 .

LCM of Denominators means LCM of 995,625 as per the given fractions.

LCM of 995,625 is 124375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4140,5385

GCF of Fractions 4140/995,5385/625 is 15/124375

3 4140, 5385
5 1380, 1795
276, 359

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 4140,5385 By Matching Biggest Common Factor Method

Greatest Common Factor of 4140,5385 By Matching Biggest Common Factor Method

Factors of 4140

List of positive integer factors of 4140 that divides 4140 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140

Factors of 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1,3,5,15,359,1077,1795,5385

Greatest Common Factor

We found the factors 4140,5385 . The biggest common factor number is the GCF number.
So the greatest common factor 4140,5385 is 15.

Lets's calculate LCM of 995,625

5 995, 625
199, 125

∴ So the LCM of the given numbers is 5 x 199 x 125 = 124375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/124375

Therefore, the GCF of Fractions 4140/995,5385/625 is 15/124375

Least Common Multiple of 995,625 with GCF Formula

Least Common Multiple of 995,625 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 995,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,625) = 5

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

GCF(995,625) x common factors =5 x 1 = 5

LCM(995,625) = ( 995 × 625 ) / 5

LCM(995,625) = 621875 / 5

LCM(995,625) = 124375


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 4140/995, 5385/625

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 4140/995, 5385/625?

Answer: GCF of Numerators as per given numbers 4140/995, 5385/625 is

GCF of Numerators i.e. for 4140,5385 is 15

LCM of denominators i.e. for 995,625 is 124375.

Thus, GCF of Fractions is 15/124375.Finally, GCF of Fractions for 4140/995, 5385/625 is 15/124375.