Greatest Common Factor of 8529/115, 9917/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8529/115, 9917/415

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 8529/115,9917/415

Given fractions are 8529/115,9917/415

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 8529,9917

Greatest Common Factor of Numerators i.e. GCF of 8529,9917 is 1 .

LCM of Denominators means LCM of 115,415 as per the given fractions.

LCM of 115,415 is 9545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8529,9917

GCF of Fractions 8529/115,9917/415 is 1/9545

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

Greatest Common Factor of 8529,9917 By Matching Biggest Common Factor Method

Greatest Common Factor of 8529,9917 By Matching Biggest Common Factor Method

Factors of 8529

List of positive integer factors of 8529 that divides 8529 without a remainder.

1,3,2843,8529

Factors of 9917

List of positive integer factors of 9917 that divides 9917 without a remainder.

1,47,211,9917

Greatest Common Factor

We found the factors 8529,9917 . The biggest common factor number is the GCF number.
So the greatest common factor 8529,9917 is 1.

Lets's calculate LCM of 115,415

5 115, 415
23, 83

∴ So the LCM of the given numbers is 5 x 23 x 83 = 9545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9545

Therefore, the GCF of Fractions 8529/115,9917/415 is 1/9545

Least Common Multiple of 115,415 with GCF Formula

Least Common Multiple of 115,415 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 115,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,415) = 5

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

GCF(115,415) x common factors =5 x 1 = 5

LCM(115,415) = ( 115 × 415 ) / 5

LCM(115,415) = 47725 / 5

LCM(115,415) = 9545


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 8529/115, 9917/415

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 8529/115, 9917/415?

Answer: GCF of Numerators as per given numbers 8529/115, 9917/415 is

GCF of Numerators i.e. for 8529,9917 is 1

LCM of denominators i.e. for 115,415 is 9545.

Thus, GCF of Fractions is 1/9545.Finally, GCF of Fractions for 8529/115, 9917/415 is 1/9545.