Greatest Common Factor of 5259/82, 6237/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5259/82, 6237/985

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 5259/82,6237/985

Given fractions are 5259/82,6237/985

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 5259,6237

Greatest Common Factor of Numerators i.e. GCF of 5259,6237 is 3 .

LCM of Denominators means LCM of 82,985 as per the given fractions.

LCM of 82,985 is 80770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5259,6237

GCF of Fractions 5259/82,6237/985 is 3/80770

3 5259, 6237
1753, 2079

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5259,6237 By Matching Biggest Common Factor Method

Greatest Common Factor of 5259,6237 By Matching Biggest Common Factor Method

Factors of 5259

List of positive integer factors of 5259 that divides 5259 without a remainder.

1,3,1753,5259

Factors of 6237

List of positive integer factors of 6237 that divides 6237 without a remainder.

1,3,7,9,11,21,27,33,63,77,81,99,189,231,297,567,693,891,2079,6237

Greatest Common Factor

We found the factors 5259,6237 . The biggest common factor number is the GCF number.
So the greatest common factor 5259,6237 is 3.

Lets's calculate LCM of 82,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 80770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/80770

Therefore, the GCF of Fractions 5259/82,6237/985 is 3/80770

Least Common Multiple of 82,985 with GCF Formula

Least Common Multiple of 82,985 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 82,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,985) = 1

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

GCF(82,985) x common factors =1 x 1 = 1

LCM(82,985) = ( 82 × 985 ) / 1

LCM(82,985) = 80770 / 1

LCM(82,985) = 80770


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 5259/82, 6237/985

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 5259/82, 6237/985?

Answer: GCF of Numerators as per given numbers 5259/82, 6237/985 is

GCF of Numerators i.e. for 5259,6237 is 3

LCM of denominators i.e. for 82,985 is 80770.

Thus, GCF of Fractions is 3/80770.Finally, GCF of Fractions for 5259/82, 6237/985 is 3/80770.