Greatest Common Factor of 5400/874, 4975/2899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5400/874, 4975/2899

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 5400/874,4975/2899

Given fractions are 5400/874,4975/2899

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 5400,4975

Greatest Common Factor of Numerators i.e. GCF of 5400,4975 is 25 .

LCM of Denominators means LCM of 874,2899 as per the given fractions.

LCM of 874,2899 is 2533726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5400,4975

GCF of Fractions 5400/874,4975/2899 is 25/2533726

5 5400, 4975
5 1080, 995
216, 199

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 5400,4975 By Matching Biggest Common Factor Method

Greatest Common Factor of 5400,4975 By Matching Biggest Common Factor Method

Factors of 5400

List of positive integer factors of 5400 that divides 5400 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400

Factors of 4975

List of positive integer factors of 4975 that divides 4975 without a remainder.

1,5,25,199,995,4975

Greatest Common Factor

We found the factors 5400,4975 . The biggest common factor number is the GCF number.
So the greatest common factor 5400,4975 is 25.

Lets's calculate LCM of 874,2899

Given numbers has no common factors except 1. So, there LCM is their product i.e 2533726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2533726

Therefore, the GCF of Fractions 5400/874,4975/2899 is 25/2533726

Least Common Multiple of 874,2899 with GCF Formula

Least Common Multiple of 874,2899 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 874,2899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,2899) = 1

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

GCF(874,2899) x common factors =1 x 1 = 1

LCM(874,2899) = ( 874 × 2899 ) / 1

LCM(874,2899) = 2533726 / 1

LCM(874,2899) = 2533726


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 5400/874, 4975/2899

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 5400/874, 4975/2899?

Answer: GCF of Numerators as per given numbers 5400/874, 4975/2899 is

GCF of Numerators i.e. for 5400,4975 is 25

LCM of denominators i.e. for 874,2899 is 2533726.

Thus, GCF of Fractions is 25/2533726.Finally, GCF of Fractions for 5400/874, 4975/2899 is 25/2533726.