Greatest Common Factor of 5913/864, 4500/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5913/864, 4500/420

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 5913/864,4500/420

Given fractions are 5913/864,4500/420

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 5913,4500

Greatest Common Factor of Numerators i.e. GCF of 5913,4500 is 9 .

LCM of Denominators means LCM of 864,420 as per the given fractions.

LCM of 864,420 is 30240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5913,4500

GCF of Fractions 5913/864,4500/420 is 9/30240

3 5913, 4500
3 1971, 1500
657, 500

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5913,4500 By Matching Biggest Common Factor Method

Greatest Common Factor of 5913,4500 By Matching Biggest Common Factor Method

Factors of 5913

List of positive integer factors of 5913 that divides 5913 without a remainder.

1,3,9,27,73,81,219,657,1971,5913

Factors of 4500

List of positive integer factors of 4500 that divides 4500 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500

Greatest Common Factor

We found the factors 5913,4500 . The biggest common factor number is the GCF number.
So the greatest common factor 5913,4500 is 9.

Lets's calculate LCM of 864,420

2 864, 420
2 432, 210
3 216, 105
72, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 72 x 35 = 30240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/30240

Therefore, the GCF of Fractions 5913/864,4500/420 is 9/30240

Least Common Multiple of 864,420 with GCF Formula

Least Common Multiple of 864,420 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 864,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,420) = 12

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

GCF(864,420) x common factors =12 x 1 = 12

LCM(864,420) = ( 864 × 420 ) / 12

LCM(864,420) = 362880 / 12

LCM(864,420) = 30240


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 5913/864, 4500/420

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 5913/864, 4500/420?

Answer: GCF of Numerators as per given numbers 5913/864, 4500/420 is

GCF of Numerators i.e. for 5913,4500 is 9

LCM of denominators i.e. for 864,420 is 30240.

Thus, GCF of Fractions is 9/30240.Finally, GCF of Fractions for 5913/864, 4500/420 is 9/30240.