Greatest Common Factor of 625/33, 675/2167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/33, 675/2167

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 625/33,675/2167

Given fractions are 625/33,675/2167

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 625,675

Greatest Common Factor of Numerators i.e. GCF of 625,675 is 25 .

LCM of Denominators means LCM of 33,2167 as per the given fractions.

LCM of 33,2167 is 6501 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,675

GCF of Fractions 625/33,675/2167 is 25/6501

5 625, 675
5 125, 135
25, 27

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

Greatest Common Factor of 625,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,675 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 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 625,675 . The biggest common factor number is the GCF number.
So the greatest common factor 625,675 is 25.

Lets's calculate LCM of 33,2167

11 33, 2167
3, 197

∴ So the LCM of the given numbers is 11 x 3 x 197 = 6501

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/6501

Therefore, the GCF of Fractions 625/33,675/2167 is 25/6501

Least Common Multiple of 33,2167 with GCF Formula

Least Common Multiple of 33,2167 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 33,2167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,2167) = 11

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

GCF(33,2167) x common factors =11 x 1 = 11

LCM(33,2167) = ( 33 × 2167 ) / 11

LCM(33,2167) = 71511 / 11

LCM(33,2167) = 6501


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 625/33, 675/2167

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 625/33, 675/2167?

Answer: GCF of Numerators as per given numbers 625/33, 675/2167 is

GCF of Numerators i.e. for 625,675 is 25

LCM of denominators i.e. for 33,2167 is 6501.

Thus, GCF of Fractions is 25/6501.Finally, GCF of Fractions for 625/33, 675/2167 is 25/6501.