Greatest Common Factor of 5379/69, 6687/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5379/69, 6687/841

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 5379/69,6687/841

Given fractions are 5379/69,6687/841

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 5379,6687

Greatest Common Factor of Numerators i.e. GCF of 5379,6687 is 3 .

LCM of Denominators means LCM of 69,841 as per the given fractions.

LCM of 69,841 is 58029 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5379,6687

GCF of Fractions 5379/69,6687/841 is 3/58029

3 5379, 6687
1793, 2229

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

Greatest Common Factor of 5379,6687 By Matching Biggest Common Factor Method

Greatest Common Factor of 5379,6687 By Matching Biggest Common Factor Method

Factors of 5379

List of positive integer factors of 5379 that divides 5379 without a remainder.

1,3,11,33,163,489,1793,5379

Factors of 6687

List of positive integer factors of 6687 that divides 6687 without a remainder.

1,3,9,743,2229,6687

Greatest Common Factor

We found the factors 5379,6687 . The biggest common factor number is the GCF number.
So the greatest common factor 5379,6687 is 3.

Lets's calculate LCM of 69,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 58029

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/58029

Therefore, the GCF of Fractions 5379/69,6687/841 is 3/58029

Least Common Multiple of 69,841 with GCF Formula

Least Common Multiple of 69,841 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 69,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,841) = 1

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

GCF(69,841) x common factors =1 x 1 = 1

LCM(69,841) = ( 69 × 841 ) / 1

LCM(69,841) = 58029 / 1

LCM(69,841) = 58029


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 5379/69, 6687/841

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 5379/69, 6687/841?

Answer: GCF of Numerators as per given numbers 5379/69, 6687/841 is

GCF of Numerators i.e. for 5379,6687 is 3

LCM of denominators i.e. for 69,841 is 58029.

Thus, GCF of Fractions is 3/58029.Finally, GCF of Fractions for 5379/69, 6687/841 is 3/58029.