Greatest Common Factor of 625/336, 1000/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/336, 1000/625

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 625/336,1000/625

Given fractions are 625/336,1000/625

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 625,1000

Greatest Common Factor of Numerators i.e. GCF of 625,1000 is 125 .

LCM of Denominators means LCM of 336,625 as per the given fractions.

LCM of 336,625 is 210000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,1000

GCF of Fractions 625/336,1000/625 is 125/210000

5 625, 1000
5 125, 200
5 25, 40
5, 8

∴ So the GCF of the given numbers is 5 x 5 x 5 = 125

Greatest Common Factor of 625,1000 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,1000 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 1000

List of positive integer factors of 1000 that divides 1000 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000

Greatest Common Factor

We found the factors 625,1000 . The biggest common factor number is the GCF number.
So the greatest common factor 625,1000 is 125.

Lets's calculate LCM of 336,625

Given numbers has no common factors except 1. So, there LCM is their product i.e 210000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 125/210000

Therefore, the GCF of Fractions 625/336,1000/625 is 125/210000

Least Common Multiple of 336,625 with GCF Formula

Least Common Multiple of 336,625 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 336,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,625) = 1

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

GCF(336,625) x common factors =1 x 1 = 1

LCM(336,625) = ( 336 × 625 ) / 1

LCM(336,625) = 210000 / 1

LCM(336,625) = 210000


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 625/336, 1000/625

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 625/336, 1000/625?

Answer: GCF of Numerators as per given numbers 625/336, 1000/625 is

GCF of Numerators i.e. for 625,1000 is 125

LCM of denominators i.e. for 336,625 is 210000.

Thus, GCF of Fractions is 125/210000.Finally, GCF of Fractions for 625/336, 1000/625 is 125/210000.