Greatest Common Factor of 3239/677, 3683/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3239/677, 3683/820

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 3239/677,3683/820

Given fractions are 3239/677,3683/820

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 3239,3683

Greatest Common Factor of Numerators i.e. GCF of 3239,3683 is 1 .

LCM of Denominators means LCM of 677,820 as per the given fractions.

LCM of 677,820 is 555140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3239,3683

GCF of Fractions 3239/677,3683/820 is 1/555140

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

Greatest Common Factor of 3239,3683 By Matching Biggest Common Factor Method

Greatest Common Factor of 3239,3683 By Matching Biggest Common Factor Method

Factors of 3239

List of positive integer factors of 3239 that divides 3239 without a remainder.

1,41,79,3239

Factors of 3683

List of positive integer factors of 3683 that divides 3683 without a remainder.

1,29,127,3683

Greatest Common Factor

We found the factors 3239,3683 . The biggest common factor number is the GCF number.
So the greatest common factor 3239,3683 is 1.

Lets's calculate LCM of 677,820

Given numbers has no common factors except 1. So, there LCM is their product i.e 555140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555140

Therefore, the GCF of Fractions 3239/677,3683/820 is 1/555140

Least Common Multiple of 677,820 with GCF Formula

Least Common Multiple of 677,820 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 677,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,820) = 1

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

GCF(677,820) x common factors =1 x 1 = 1

LCM(677,820) = ( 677 × 820 ) / 1

LCM(677,820) = 555140 / 1

LCM(677,820) = 555140


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 3239/677, 3683/820

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 3239/677, 3683/820?

Answer: GCF of Numerators as per given numbers 3239/677, 3683/820 is

GCF of Numerators i.e. for 3239,3683 is 1

LCM of denominators i.e. for 677,820 is 555140.

Thus, GCF of Fractions is 1/555140.Finally, GCF of Fractions for 3239/677, 3683/820 is 1/555140.