Greatest Common Factor of 6441/432, 8471/8020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6441/432, 8471/8020

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 6441/432,8471/8020

Given fractions are 6441/432,8471/8020

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 6441,8471

Greatest Common Factor of Numerators i.e. GCF of 6441,8471 is 1 .

LCM of Denominators means LCM of 432,8020 as per the given fractions.

LCM of 432,8020 is 866160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6441,8471

GCF of Fractions 6441/432,8471/8020 is 1/866160

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

Greatest Common Factor of 6441,8471 By Matching Biggest Common Factor Method

Greatest Common Factor of 6441,8471 By Matching Biggest Common Factor Method

Factors of 6441

List of positive integer factors of 6441 that divides 6441 without a remainder.

1,3,19,57,113,339,2147,6441

Factors of 8471

List of positive integer factors of 8471 that divides 8471 without a remainder.

1,43,197,8471

Greatest Common Factor

We found the factors 6441,8471 . The biggest common factor number is the GCF number.
So the greatest common factor 6441,8471 is 1.

Lets's calculate LCM of 432,8020

2 432, 8020
2 216, 4010
108, 2005

∴ So the LCM of the given numbers is 2 x 2 x 108 x 2005 = 866160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/866160

Therefore, the GCF of Fractions 6441/432,8471/8020 is 1/866160

Least Common Multiple of 432,8020 with GCF Formula

Least Common Multiple of 432,8020 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 432,8020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,8020) = 4

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

GCF(432,8020) x common factors =4 x 1 = 4

LCM(432,8020) = ( 432 × 8020 ) / 4

LCM(432,8020) = 3464640 / 4

LCM(432,8020) = 866160


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 6441/432, 8471/8020

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 6441/432, 8471/8020?

Answer: GCF of Numerators as per given numbers 6441/432, 8471/8020 is

GCF of Numerators i.e. for 6441,8471 is 1

LCM of denominators i.e. for 432,8020 is 866160.

Thus, GCF of Fractions is 1/866160.Finally, GCF of Fractions for 6441/432, 8471/8020 is 1/866160.