Greatest Common Factor of 8582/915, 2141/8313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8582/915, 2141/8313

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 8582/915,2141/8313

Given fractions are 8582/915,2141/8313

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 8582,2141

Greatest Common Factor of Numerators i.e. GCF of 8582,2141 is 1 .

LCM of Denominators means LCM of 915,8313 as per the given fractions.

LCM of 915,8313 is 2535465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8582,2141

GCF of Fractions 8582/915,2141/8313 is 1/2535465

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

Greatest Common Factor of 8582,2141 By Matching Biggest Common Factor Method

Greatest Common Factor of 8582,2141 By Matching Biggest Common Factor Method

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1,2,7,14,613,1226,4291,8582

Factors of 2141

List of positive integer factors of 2141 that divides 2141 without a remainder.

1,2141

Greatest Common Factor

We found the factors 8582,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 8582,2141 is 1.

Lets's calculate LCM of 915,8313

3 915, 8313
305, 2771

∴ So the LCM of the given numbers is 3 x 305 x 2771 = 2535465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2535465

Therefore, the GCF of Fractions 8582/915,2141/8313 is 1/2535465

Least Common Multiple of 915,8313 with GCF Formula

Least Common Multiple of 915,8313 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 915,8313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,8313) = 3

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

GCF(915,8313) x common factors =3 x 1 = 3

LCM(915,8313) = ( 915 × 8313 ) / 3

LCM(915,8313) = 7606395 / 3

LCM(915,8313) = 2535465


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 8582/915, 2141/8313

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 8582/915, 2141/8313?

Answer: GCF of Numerators as per given numbers 8582/915, 2141/8313 is

GCF of Numerators i.e. for 8582,2141 is 1

LCM of denominators i.e. for 915,8313 is 2535465.

Thus, GCF of Fractions is 1/2535465.Finally, GCF of Fractions for 8582/915, 2141/8313 is 1/2535465.