Greatest Common Factor of 5677/354, 9353/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5677/354, 9353/821

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 5677/354,9353/821

Given fractions are 5677/354,9353/821

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 5677,9353

Greatest Common Factor of Numerators i.e. GCF of 5677,9353 is 1 .

LCM of Denominators means LCM of 354,821 as per the given fractions.

LCM of 354,821 is 290634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5677,9353

GCF of Fractions 5677/354,9353/821 is 1/290634

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

Greatest Common Factor of 5677,9353 By Matching Biggest Common Factor Method

Greatest Common Factor of 5677,9353 By Matching Biggest Common Factor Method

Factors of 5677

List of positive integer factors of 5677 that divides 5677 without a remainder.

1,7,811,5677

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 5677,9353 . The biggest common factor number is the GCF number.
So the greatest common factor 5677,9353 is 1.

Lets's calculate LCM of 354,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 290634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290634

Therefore, the GCF of Fractions 5677/354,9353/821 is 1/290634

Least Common Multiple of 354,821 with GCF Formula

Least Common Multiple of 354,821 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 354,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,821) = 1

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

GCF(354,821) x common factors =1 x 1 = 1

LCM(354,821) = ( 354 × 821 ) / 1

LCM(354,821) = 290634 / 1

LCM(354,821) = 290634


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 5677/354, 9353/821

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 5677/354, 9353/821?

Answer: GCF of Numerators as per given numbers 5677/354, 9353/821 is

GCF of Numerators i.e. for 5677,9353 is 1

LCM of denominators i.e. for 354,821 is 290634.

Thus, GCF of Fractions is 1/290634.Finally, GCF of Fractions for 5677/354, 9353/821 is 1/290634.