Greatest Common Factor of 5497/421, 4527/6773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5497/421, 4527/6773

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 5497/421,4527/6773

Given fractions are 5497/421,4527/6773

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 5497,4527

Greatest Common Factor of Numerators i.e. GCF of 5497,4527 is 1 .

LCM of Denominators means LCM of 421,6773 as per the given fractions.

LCM of 421,6773 is 2851433 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5497,4527

GCF of Fractions 5497/421,4527/6773 is 1/2851433

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

Greatest Common Factor of 5497,4527 By Matching Biggest Common Factor Method

Greatest Common Factor of 5497,4527 By Matching Biggest Common Factor Method

Factors of 5497

List of positive integer factors of 5497 that divides 5497 without a remainder.

1,23,239,5497

Factors of 4527

List of positive integer factors of 4527 that divides 4527 without a remainder.

1,3,9,503,1509,4527

Greatest Common Factor

We found the factors 5497,4527 . The biggest common factor number is the GCF number.
So the greatest common factor 5497,4527 is 1.

Lets's calculate LCM of 421,6773

Given numbers has no common factors except 1. So, there LCM is their product i.e 2851433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2851433

Therefore, the GCF of Fractions 5497/421,4527/6773 is 1/2851433

Least Common Multiple of 421,6773 with GCF Formula

Least Common Multiple of 421,6773 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 421,6773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,6773) = 1

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

GCF(421,6773) x common factors =1 x 1 = 1

LCM(421,6773) = ( 421 × 6773 ) / 1

LCM(421,6773) = 2851433 / 1

LCM(421,6773) = 2851433


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 5497/421, 4527/6773

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 5497/421, 4527/6773?

Answer: GCF of Numerators as per given numbers 5497/421, 4527/6773 is

GCF of Numerators i.e. for 5497,4527 is 1

LCM of denominators i.e. for 421,6773 is 2851433.

Thus, GCF of Fractions is 1/2851433.Finally, GCF of Fractions for 5497/421, 4527/6773 is 1/2851433.