Greatest Common Factor of 8573/271, 5155/6944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8573/271, 5155/6944

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 8573/271,5155/6944

Given fractions are 8573/271,5155/6944

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 8573,5155

Greatest Common Factor of Numerators i.e. GCF of 8573,5155 is 1 .

LCM of Denominators means LCM of 271,6944 as per the given fractions.

LCM of 271,6944 is 1881824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8573,5155

GCF of Fractions 8573/271,5155/6944 is 1/1881824

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

Greatest Common Factor of 8573,5155 By Matching Biggest Common Factor Method

Greatest Common Factor of 8573,5155 By Matching Biggest Common Factor Method

Factors of 8573

List of positive integer factors of 8573 that divides 8573 without a remainder.

1,8573

Factors of 5155

List of positive integer factors of 5155 that divides 5155 without a remainder.

1,5,1031,5155

Greatest Common Factor

We found the factors 8573,5155 . The biggest common factor number is the GCF number.
So the greatest common factor 8573,5155 is 1.

Lets's calculate LCM of 271,6944

Given numbers has no common factors except 1. So, there LCM is their product i.e 1881824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1881824

Therefore, the GCF of Fractions 8573/271,5155/6944 is 1/1881824

Least Common Multiple of 271,6944 with GCF Formula

Least Common Multiple of 271,6944 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 271,6944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,6944) = 1

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

GCF(271,6944) x common factors =1 x 1 = 1

LCM(271,6944) = ( 271 × 6944 ) / 1

LCM(271,6944) = 1881824 / 1

LCM(271,6944) = 1881824


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 8573/271, 5155/6944

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 8573/271, 5155/6944?

Answer: GCF of Numerators as per given numbers 8573/271, 5155/6944 is

GCF of Numerators i.e. for 8573,5155 is 1

LCM of denominators i.e. for 271,6944 is 1881824.

Thus, GCF of Fractions is 1/1881824.Finally, GCF of Fractions for 8573/271, 5155/6944 is 1/1881824.