Greatest Common Factor of 2728/677, 9353/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2728/677, 9353/347

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 2728/677,9353/347

Given fractions are 2728/677,9353/347

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 2728,9353

Greatest Common Factor of Numerators i.e. GCF of 2728,9353 is 1 .

LCM of Denominators means LCM of 677,347 as per the given fractions.

LCM of 677,347 is 234919 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2728,9353

GCF of Fractions 2728/677,9353/347 is 1/234919

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

Greatest Common Factor of 2728,9353 By Matching Biggest Common Factor Method

Greatest Common Factor of 2728,9353 By Matching Biggest Common Factor Method

Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728

Factors of 9353

List of positive integer factors of 9353 that divides 9353 without a remainder.

1,47,199,9353

Greatest Common Factor

We found the factors 2728,9353 . The biggest common factor number is the GCF number.
So the greatest common factor 2728,9353 is 1.

Lets's calculate LCM of 677,347

Given numbers has no common factors except 1. So, there LCM is their product i.e 234919

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234919

Therefore, the GCF of Fractions 2728/677,9353/347 is 1/234919

Least Common Multiple of 677,347 with GCF Formula

Least Common Multiple of 677,347 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 677,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,347) = 1

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

GCF(677,347) x common factors =1 x 1 = 1

LCM(677,347) = ( 677 × 347 ) / 1

LCM(677,347) = 234919 / 1

LCM(677,347) = 234919


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 2728/677, 9353/347

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 2728/677, 9353/347?

Answer: GCF of Numerators as per given numbers 2728/677, 9353/347 is

GCF of Numerators i.e. for 2728,9353 is 1

LCM of denominators i.e. for 677,347 is 234919.

Thus, GCF of Fractions is 1/234919.Finally, GCF of Fractions for 2728/677, 9353/347 is 1/234919.