Greatest Common Factor of 2025/143, 2475/9159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2025/143, 2475/9159

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 2025/143,2475/9159

Given fractions are 2025/143,2475/9159

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 2025,2475

Greatest Common Factor of Numerators i.e. GCF of 2025,2475 is 225 .

LCM of Denominators means LCM of 143,9159 as per the given fractions.

LCM of 143,9159 is 1309737 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2025,2475

GCF of Fractions 2025/143,2475/9159 is 225/1309737

3 2025, 2475
3 675, 825
5 225, 275
5 45, 55
9, 11

∴ So the GCF of the given numbers is 3 x 3 x 5 x 5 = 225

Greatest Common Factor of 2025,2475 By Matching Biggest Common Factor Method

Greatest Common Factor of 2025,2475 By Matching Biggest Common Factor Method

Factors of 2025

List of positive integer factors of 2025 that divides 2025 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025

Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475

Greatest Common Factor

We found the factors 2025,2475 . The biggest common factor number is the GCF number.
So the greatest common factor 2025,2475 is 225.

Lets's calculate LCM of 143,9159

Given numbers has no common factors except 1. So, there LCM is their product i.e 1309737

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 225/1309737

Therefore, the GCF of Fractions 2025/143,2475/9159 is 225/1309737

Least Common Multiple of 143,9159 with GCF Formula

Least Common Multiple of 143,9159 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 143,9159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,9159) = 1

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

GCF(143,9159) x common factors =1 x 1 = 1

LCM(143,9159) = ( 143 × 9159 ) / 1

LCM(143,9159) = 1309737 / 1

LCM(143,9159) = 1309737


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 2025/143, 2475/9159

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 2025/143, 2475/9159?

Answer: GCF of Numerators as per given numbers 2025/143, 2475/9159 is

GCF of Numerators i.e. for 2025,2475 is 225

LCM of denominators i.e. for 143,9159 is 1309737.

Thus, GCF of Fractions is 225/1309737.Finally, GCF of Fractions for 2025/143, 2475/9159 is 225/1309737.