Greatest Common Factor of 2615/575, 7086/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2615/575, 7086/325

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 2615/575,7086/325

Given fractions are 2615/575,7086/325

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 2615,7086

Greatest Common Factor of Numerators i.e. GCF of 2615,7086 is 1 .

LCM of Denominators means LCM of 575,325 as per the given fractions.

LCM of 575,325 is 7475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2615,7086

GCF of Fractions 2615/575,7086/325 is 1/7475

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2615,7086 By Matching Biggest Common Factor Method

Greatest Common Factor of 2615,7086 By Matching Biggest Common Factor Method

Factors of 2615

List of positive integer factors of 2615 that divides 2615 without a remainder.

1,5,523,2615

Factors of 7086

List of positive integer factors of 7086 that divides 7086 without a remainder.

1,2,3,6,1181,2362,3543,7086

Greatest Common Factor

We found the factors 2615,7086 . The biggest common factor number is the GCF number.
So the greatest common factor 2615,7086 is 1.

Lets's calculate LCM of 575,325

5 575, 325
5 115, 65
23, 13

∴ So the LCM of the given numbers is 5 x 5 x 23 x 13 = 7475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7475

Therefore, the GCF of Fractions 2615/575,7086/325 is 1/7475

Least Common Multiple of 575,325 with GCF Formula

Least Common Multiple of 575,325 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 575,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,325) = 25

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

GCF(575,325) x common factors =25 x 1 = 25

LCM(575,325) = ( 575 × 325 ) / 25

LCM(575,325) = 186875 / 25

LCM(575,325) = 7475


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 2615/575, 7086/325

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 2615/575, 7086/325?

Answer: GCF of Numerators as per given numbers 2615/575, 7086/325 is

GCF of Numerators i.e. for 2615,7086 is 1

LCM of denominators i.e. for 575,325 is 7475.

Thus, GCF of Fractions is 1/7475.Finally, GCF of Fractions for 2615/575, 7086/325 is 1/7475.