Greatest Common Factor of 6852/87, 5743/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6852/87, 5743/302

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 6852/87,5743/302

Given fractions are 6852/87,5743/302

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 6852,5743

Greatest Common Factor of Numerators i.e. GCF of 6852,5743 is 1 .

LCM of Denominators means LCM of 87,302 as per the given fractions.

LCM of 87,302 is 26274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6852,5743

GCF of Fractions 6852/87,5743/302 is 1/26274

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

Greatest Common Factor of 6852,5743 By Matching Biggest Common Factor Method

Greatest Common Factor of 6852,5743 By Matching Biggest Common Factor Method

Factors of 6852

List of positive integer factors of 6852 that divides 6852 without a remainder.

1,2,3,4,6,12,571,1142,1713,2284,3426,6852

Factors of 5743

List of positive integer factors of 5743 that divides 5743 without a remainder.

1,5743

Greatest Common Factor

We found the factors 6852,5743 . The biggest common factor number is the GCF number.
So the greatest common factor 6852,5743 is 1.

Lets's calculate LCM of 87,302

Given numbers has no common factors except 1. So, there LCM is their product i.e 26274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26274

Therefore, the GCF of Fractions 6852/87,5743/302 is 1/26274

Least Common Multiple of 87,302 with GCF Formula

Least Common Multiple of 87,302 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 87,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,302) = 1

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

GCF(87,302) x common factors =1 x 1 = 1

LCM(87,302) = ( 87 × 302 ) / 1

LCM(87,302) = 26274 / 1

LCM(87,302) = 26274


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 6852/87, 5743/302

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 6852/87, 5743/302?

Answer: GCF of Numerators as per given numbers 6852/87, 5743/302 is

GCF of Numerators i.e. for 6852,5743 is 1

LCM of denominators i.e. for 87,302 is 26274.

Thus, GCF of Fractions is 1/26274.Finally, GCF of Fractions for 6852/87, 5743/302 is 1/26274.