Greatest Common Factor of 8703/82, 5125/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8703/82, 5125/867

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 8703/82,5125/867

Given fractions are 8703/82,5125/867

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 8703,5125

Greatest Common Factor of Numerators i.e. GCF of 8703,5125 is 1 .

LCM of Denominators means LCM of 82,867 as per the given fractions.

LCM of 82,867 is 71094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8703,5125

GCF of Fractions 8703/82,5125/867 is 1/71094

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

Greatest Common Factor of 8703,5125 By Matching Biggest Common Factor Method

Greatest Common Factor of 8703,5125 By Matching Biggest Common Factor Method

Factors of 8703

List of positive integer factors of 8703 that divides 8703 without a remainder.

1,3,9,967,2901,8703

Factors of 5125

List of positive integer factors of 5125 that divides 5125 without a remainder.

1,5,25,41,125,205,1025,5125

Greatest Common Factor

We found the factors 8703,5125 . The biggest common factor number is the GCF number.
So the greatest common factor 8703,5125 is 1.

Lets's calculate LCM of 82,867

Given numbers has no common factors except 1. So, there LCM is their product i.e 71094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71094

Therefore, the GCF of Fractions 8703/82,5125/867 is 1/71094

Least Common Multiple of 82,867 with GCF Formula

Least Common Multiple of 82,867 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 82,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,867) = 1

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

GCF(82,867) x common factors =1 x 1 = 1

LCM(82,867) = ( 82 × 867 ) / 1

LCM(82,867) = 71094 / 1

LCM(82,867) = 71094


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 8703/82, 5125/867

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 8703/82, 5125/867?

Answer: GCF of Numerators as per given numbers 8703/82, 5125/867 is

GCF of Numerators i.e. for 8703,5125 is 1

LCM of denominators i.e. for 82,867 is 71094.

Thus, GCF of Fractions is 1/71094.Finally, GCF of Fractions for 8703/82, 5125/867 is 1/71094.