Greatest Common Factor of 8573/25, 7355/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8573/25, 7355/765

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 8573/25,7355/765

Given fractions are 8573/25,7355/765

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 8573,7355

Greatest Common Factor of Numerators i.e. GCF of 8573,7355 is 1 .

LCM of Denominators means LCM of 25,765 as per the given fractions.

LCM of 25,765 is 3825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8573,7355

GCF of Fractions 8573/25,7355/765 is 1/3825

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

Greatest Common Factor of 8573,7355 By Matching Biggest Common Factor Method

Greatest Common Factor of 8573,7355 By Matching Biggest Common Factor Method

Factors of 8573

List of positive integer factors of 8573 that divides 8573 without a remainder.

1,8573

Factors of 7355

List of positive integer factors of 7355 that divides 7355 without a remainder.

1,5,1471,7355

Greatest Common Factor

We found the factors 8573,7355 . The biggest common factor number is the GCF number.
So the greatest common factor 8573,7355 is 1.

Lets's calculate LCM of 25,765

5 25, 765
5, 153

∴ So the LCM of the given numbers is 5 x 5 x 153 = 3825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3825

Therefore, the GCF of Fractions 8573/25,7355/765 is 1/3825

Least Common Multiple of 25,765 with GCF Formula

Least Common Multiple of 25,765 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 25,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,765) = 5

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

GCF(25,765) x common factors =5 x 1 = 5

LCM(25,765) = ( 25 × 765 ) / 5

LCM(25,765) = 19125 / 5

LCM(25,765) = 3825


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 8573/25, 7355/765

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 8573/25, 7355/765?

Answer: GCF of Numerators as per given numbers 8573/25, 7355/765 is

GCF of Numerators i.e. for 8573,7355 is 1

LCM of denominators i.e. for 25,765 is 3825.

Thus, GCF of Fractions is 1/3825.Finally, GCF of Fractions for 8573/25, 7355/765 is 1/3825.