Greatest Common Factor of 4025/596, 2815/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4025/596, 2815/915

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 4025/596,2815/915

Given fractions are 4025/596,2815/915

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 4025,2815

Greatest Common Factor of Numerators i.e. GCF of 4025,2815 is 5 .

LCM of Denominators means LCM of 596,915 as per the given fractions.

LCM of 596,915 is 545340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4025,2815

GCF of Fractions 4025/596,2815/915 is 5/545340

5 4025, 2815
805, 563

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

Greatest Common Factor of 4025,2815 By Matching Biggest Common Factor Method

Greatest Common Factor of 4025,2815 By Matching Biggest Common Factor Method

Factors of 4025

List of positive integer factors of 4025 that divides 4025 without a remainder.

1,5,7,23,25,35,115,161,175,575,805,4025

Factors of 2815

List of positive integer factors of 2815 that divides 2815 without a remainder.

1,5,563,2815

Greatest Common Factor

We found the factors 4025,2815 . The biggest common factor number is the GCF number.
So the greatest common factor 4025,2815 is 5.

Lets's calculate LCM of 596,915

Given numbers has no common factors except 1. So, there LCM is their product i.e 545340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/545340

Therefore, the GCF of Fractions 4025/596,2815/915 is 5/545340

Least Common Multiple of 596,915 with GCF Formula

Least Common Multiple of 596,915 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 596,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,915) = 1

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

GCF(596,915) x common factors =1 x 1 = 1

LCM(596,915) = ( 596 × 915 ) / 1

LCM(596,915) = 545340 / 1

LCM(596,915) = 545340


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 4025/596, 2815/915

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 4025/596, 2815/915?

Answer: GCF of Numerators as per given numbers 4025/596, 2815/915 is

GCF of Numerators i.e. for 4025,2815 is 5

LCM of denominators i.e. for 596,915 is 545340.

Thus, GCF of Fractions is 5/545340.Finally, GCF of Fractions for 4025/596, 2815/915 is 5/545340.