Greatest Common Factor of 8821/718, 4175/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8821/718, 4175/664

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 8821/718,4175/664

Given fractions are 8821/718,4175/664

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 8821,4175

Greatest Common Factor of Numerators i.e. GCF of 8821,4175 is 1 .

LCM of Denominators means LCM of 718,664 as per the given fractions.

LCM of 718,664 is 238376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8821,4175

GCF of Fractions 8821/718,4175/664 is 1/238376

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

Greatest Common Factor of 8821,4175 By Matching Biggest Common Factor Method

Greatest Common Factor of 8821,4175 By Matching Biggest Common Factor Method

Factors of 8821

List of positive integer factors of 8821 that divides 8821 without a remainder.

1,8821

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1,5,25,167,835,4175

Greatest Common Factor

We found the factors 8821,4175 . The biggest common factor number is the GCF number.
So the greatest common factor 8821,4175 is 1.

Lets's calculate LCM of 718,664

2 718, 664
359, 332

∴ So the LCM of the given numbers is 2 x 359 x 332 = 238376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238376

Therefore, the GCF of Fractions 8821/718,4175/664 is 1/238376

Least Common Multiple of 718,664 with GCF Formula

Least Common Multiple of 718,664 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 718,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,664) = 2

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

GCF(718,664) x common factors =2 x 1 = 2

LCM(718,664) = ( 718 × 664 ) / 2

LCM(718,664) = 476752 / 2

LCM(718,664) = 238376


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 8821/718, 4175/664

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 8821/718, 4175/664?

Answer: GCF of Numerators as per given numbers 8821/718, 4175/664 is

GCF of Numerators i.e. for 8821,4175 is 1

LCM of denominators i.e. for 718,664 is 238376.

Thus, GCF of Fractions is 1/238376.Finally, GCF of Fractions for 8821/718, 4175/664 is 1/238376.