Greatest Common Factor of 5477/466, 3293/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5477/466, 3293/687

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 5477/466,3293/687

Given fractions are 5477/466,3293/687

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 5477,3293

Greatest Common Factor of Numerators i.e. GCF of 5477,3293 is 1 .

LCM of Denominators means LCM of 466,687 as per the given fractions.

LCM of 466,687 is 320142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5477,3293

GCF of Fractions 5477/466,3293/687 is 1/320142

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

Greatest Common Factor of 5477,3293 By Matching Biggest Common Factor Method

Greatest Common Factor of 5477,3293 By Matching Biggest Common Factor Method

Factors of 5477

List of positive integer factors of 5477 that divides 5477 without a remainder.

1,5477

Factors of 3293

List of positive integer factors of 3293 that divides 3293 without a remainder.

1,37,89,3293

Greatest Common Factor

We found the factors 5477,3293 . The biggest common factor number is the GCF number.
So the greatest common factor 5477,3293 is 1.

Lets's calculate LCM of 466,687

Given numbers has no common factors except 1. So, there LCM is their product i.e 320142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320142

Therefore, the GCF of Fractions 5477/466,3293/687 is 1/320142

Least Common Multiple of 466,687 with GCF Formula

Least Common Multiple of 466,687 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 466,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,687) = 1

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

GCF(466,687) x common factors =1 x 1 = 1

LCM(466,687) = ( 466 × 687 ) / 1

LCM(466,687) = 320142 / 1

LCM(466,687) = 320142


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 5477/466, 3293/687

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 5477/466, 3293/687?

Answer: GCF of Numerators as per given numbers 5477/466, 3293/687 is

GCF of Numerators i.e. for 5477,3293 is 1

LCM of denominators i.e. for 466,687 is 320142.

Thus, GCF of Fractions is 1/320142.Finally, GCF of Fractions for 5477/466, 3293/687 is 1/320142.