Greatest Common Factor of 6523/801, 8716/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6523/801, 8716/421

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 6523/801,8716/421

Given fractions are 6523/801,8716/421

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 6523,8716

Greatest Common Factor of Numerators i.e. GCF of 6523,8716 is 1 .

LCM of Denominators means LCM of 801,421 as per the given fractions.

LCM of 801,421 is 337221 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6523,8716

GCF of Fractions 6523/801,8716/421 is 1/337221

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

Greatest Common Factor of 6523,8716 By Matching Biggest Common Factor Method

Greatest Common Factor of 6523,8716 By Matching Biggest Common Factor Method

Factors of 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1,11,593,6523

Factors of 8716

List of positive integer factors of 8716 that divides 8716 without a remainder.

1,2,4,2179,4358,8716

Greatest Common Factor

We found the factors 6523,8716 . The biggest common factor number is the GCF number.
So the greatest common factor 6523,8716 is 1.

Lets's calculate LCM of 801,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 337221

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337221

Therefore, the GCF of Fractions 6523/801,8716/421 is 1/337221

Least Common Multiple of 801,421 with GCF Formula

Least Common Multiple of 801,421 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 801,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,421) = 1

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

GCF(801,421) x common factors =1 x 1 = 1

LCM(801,421) = ( 801 × 421 ) / 1

LCM(801,421) = 337221 / 1

LCM(801,421) = 337221


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 6523/801, 8716/421

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 6523/801, 8716/421?

Answer: GCF of Numerators as per given numbers 6523/801, 8716/421 is

GCF of Numerators i.e. for 6523,8716 is 1

LCM of denominators i.e. for 801,421 is 337221.

Thus, GCF of Fractions is 1/337221.Finally, GCF of Fractions for 6523/801, 8716/421 is 1/337221.