Greatest Common Factor of 100/625, 1440/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/625, 1440/600

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 100/625,1440/600

Given fractions are 100/625,1440/600

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 100,1440

Greatest Common Factor of Numerators i.e. GCF of 100,1440 is 20 .

LCM of Denominators means LCM of 625,600 as per the given fractions.

LCM of 625,600 is 15000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,1440

GCF of Fractions 100/625,1440/600 is 20/15000

2 100, 1440
2 50, 720
5 25, 360
5, 72

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 100,1440 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,1440 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 1440

List of positive integer factors of 1440 that divides 1440 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440

Greatest Common Factor

We found the factors 100,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 100,1440 is 20.

Lets's calculate LCM of 625,600

5 625, 600
5 125, 120
25, 24

∴ So the LCM of the given numbers is 5 x 5 x 25 x 24 = 15000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/15000

Therefore, the GCF of Fractions 100/625,1440/600 is 20/15000

Least Common Multiple of 625,600 with GCF Formula

Least Common Multiple of 625,600 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 625,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,600) = 25

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

GCF(625,600) x common factors =25 x 1 = 25

LCM(625,600) = ( 625 × 600 ) / 25

LCM(625,600) = 375000 / 25

LCM(625,600) = 15000


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 100/625, 1440/600

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 100/625, 1440/600?

Answer: GCF of Numerators as per given numbers 100/625, 1440/600 is

GCF of Numerators i.e. for 100,1440 is 20

LCM of denominators i.e. for 625,600 is 15000.

Thus, GCF of Fractions is 20/15000.Finally, GCF of Fractions for 100/625, 1440/600 is 20/15000.