Greatest Common Factor of 2675/27, 2075/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2675/27, 2075/232

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 2675/27,2075/232

Given fractions are 2675/27,2075/232

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 2675,2075

Greatest Common Factor of Numerators i.e. GCF of 2675,2075 is 25 .

LCM of Denominators means LCM of 27,232 as per the given fractions.

LCM of 27,232 is 6264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2675,2075

GCF of Fractions 2675/27,2075/232 is 25/6264

5 2675, 2075
5 535, 415
107, 83

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

Greatest Common Factor of 2675,2075 By Matching Biggest Common Factor Method

Greatest Common Factor of 2675,2075 By Matching Biggest Common Factor Method

Factors of 2675

List of positive integer factors of 2675 that divides 2675 without a remainder.

1,5,25,107,535,2675

Factors of 2075

List of positive integer factors of 2075 that divides 2075 without a remainder.

1,5,25,83,415,2075

Greatest Common Factor

We found the factors 2675,2075 . The biggest common factor number is the GCF number.
So the greatest common factor 2675,2075 is 25.

Lets's calculate LCM of 27,232

Given numbers has no common factors except 1. So, there LCM is their product i.e 6264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/6264

Therefore, the GCF of Fractions 2675/27,2075/232 is 25/6264

Least Common Multiple of 27,232 with GCF Formula

Least Common Multiple of 27,232 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 27,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,232) = 1

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

GCF(27,232) x common factors =1 x 1 = 1

LCM(27,232) = ( 27 × 232 ) / 1

LCM(27,232) = 6264 / 1

LCM(27,232) = 6264


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 2675/27, 2075/232

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 2675/27, 2075/232?

Answer: GCF of Numerators as per given numbers 2675/27, 2075/232 is

GCF of Numerators i.e. for 2675,2075 is 25

LCM of denominators i.e. for 27,232 is 6264.

Thus, GCF of Fractions is 25/6264.Finally, GCF of Fractions for 2675/27, 2075/232 is 25/6264.