Greatest Common Factor of 2577/677, 8321/5746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2577/677, 8321/5746

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 2577/677,8321/5746

Given fractions are 2577/677,8321/5746

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 2577,8321

Greatest Common Factor of Numerators i.e. GCF of 2577,8321 is 1 .

LCM of Denominators means LCM of 677,5746 as per the given fractions.

LCM of 677,5746 is 3890042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2577,8321

GCF of Fractions 2577/677,8321/5746 is 1/3890042

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

Greatest Common Factor of 2577,8321 By Matching Biggest Common Factor Method

Greatest Common Factor of 2577,8321 By Matching Biggest Common Factor Method

Factors of 2577

List of positive integer factors of 2577 that divides 2577 without a remainder.

1,3,859,2577

Factors of 8321

List of positive integer factors of 8321 that divides 8321 without a remainder.

1,53,157,8321

Greatest Common Factor

We found the factors 2577,8321 . The biggest common factor number is the GCF number.
So the greatest common factor 2577,8321 is 1.

Lets's calculate LCM of 677,5746

Given numbers has no common factors except 1. So, there LCM is their product i.e 3890042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3890042

Therefore, the GCF of Fractions 2577/677,8321/5746 is 1/3890042

Least Common Multiple of 677,5746 with GCF Formula

Least Common Multiple of 677,5746 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 677,5746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,5746) = 1

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

GCF(677,5746) x common factors =1 x 1 = 1

LCM(677,5746) = ( 677 × 5746 ) / 1

LCM(677,5746) = 3890042 / 1

LCM(677,5746) = 3890042


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 2577/677, 8321/5746

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 2577/677, 8321/5746?

Answer: GCF of Numerators as per given numbers 2577/677, 8321/5746 is

GCF of Numerators i.e. for 2577,8321 is 1

LCM of denominators i.e. for 677,5746 is 3890042.

Thus, GCF of Fractions is 1/3890042.Finally, GCF of Fractions for 2577/677, 8321/5746 is 1/3890042.