Greatest Common Factor of 8718/91, 1413/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8718/91, 1413/216

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 8718/91,1413/216

Given fractions are 8718/91,1413/216

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 8718,1413

Greatest Common Factor of Numerators i.e. GCF of 8718,1413 is 3 .

LCM of Denominators means LCM of 91,216 as per the given fractions.

LCM of 91,216 is 19656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8718,1413

GCF of Fractions 8718/91,1413/216 is 3/19656

3 8718, 1413
2906, 471

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8718,1413 By Matching Biggest Common Factor Method

Greatest Common Factor of 8718,1413 By Matching Biggest Common Factor Method

Factors of 8718

List of positive integer factors of 8718 that divides 8718 without a remainder.

1,2,3,6,1453,2906,4359,8718

Factors of 1413

List of positive integer factors of 1413 that divides 1413 without a remainder.

1,3,9,157,471,1413

Greatest Common Factor

We found the factors 8718,1413 . The biggest common factor number is the GCF number.
So the greatest common factor 8718,1413 is 3.

Lets's calculate LCM of 91,216

Given numbers has no common factors except 1. So, there LCM is their product i.e 19656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19656

Therefore, the GCF of Fractions 8718/91,1413/216 is 3/19656

Least Common Multiple of 91,216 with GCF Formula

Least Common Multiple of 91,216 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 91,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,216) = 1

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

GCF(91,216) x common factors =1 x 1 = 1

LCM(91,216) = ( 91 × 216 ) / 1

LCM(91,216) = 19656 / 1

LCM(91,216) = 19656


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 8718/91, 1413/216

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 8718/91, 1413/216?

Answer: GCF of Numerators as per given numbers 8718/91, 1413/216 is

GCF of Numerators i.e. for 8718,1413 is 3

LCM of denominators i.e. for 91,216 is 19656.

Thus, GCF of Fractions is 3/19656.Finally, GCF of Fractions for 8718/91, 1413/216 is 3/19656.