Greatest Common Factor of 8467/502, 8584/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8467/502, 8584/729

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 8467/502,8584/729

Given fractions are 8467/502,8584/729

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 8467,8584

Greatest Common Factor of Numerators i.e. GCF of 8467,8584 is 1 .

LCM of Denominators means LCM of 502,729 as per the given fractions.

LCM of 502,729 is 365958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8467,8584

GCF of Fractions 8467/502,8584/729 is 1/365958

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

Greatest Common Factor of 8467,8584 By Matching Biggest Common Factor Method

Greatest Common Factor of 8467,8584 By Matching Biggest Common Factor Method

Factors of 8467

List of positive integer factors of 8467 that divides 8467 without a remainder.

1,8467

Factors of 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584

Greatest Common Factor

We found the factors 8467,8584 . The biggest common factor number is the GCF number.
So the greatest common factor 8467,8584 is 1.

Lets's calculate LCM of 502,729

Given numbers has no common factors except 1. So, there LCM is their product i.e 365958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365958

Therefore, the GCF of Fractions 8467/502,8584/729 is 1/365958

Least Common Multiple of 502,729 with GCF Formula

Least Common Multiple of 502,729 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 502,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,729) = 1

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

GCF(502,729) x common factors =1 x 1 = 1

LCM(502,729) = ( 502 × 729 ) / 1

LCM(502,729) = 365958 / 1

LCM(502,729) = 365958


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 8467/502, 8584/729

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 8467/502, 8584/729?

Answer: GCF of Numerators as per given numbers 8467/502, 8584/729 is

GCF of Numerators i.e. for 8467,8584 is 1

LCM of denominators i.e. for 502,729 is 365958.

Thus, GCF of Fractions is 1/365958.Finally, GCF of Fractions for 8467/502, 8584/729 is 1/365958.