Greatest Common Factor of 5729/621, 4526/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5729/621, 4526/793

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 5729/621,4526/793

Given fractions are 5729/621,4526/793

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 5729,4526

Greatest Common Factor of Numerators i.e. GCF of 5729,4526 is 1 .

LCM of Denominators means LCM of 621,793 as per the given fractions.

LCM of 621,793 is 492453 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5729,4526

GCF of Fractions 5729/621,4526/793 is 1/492453

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

Greatest Common Factor of 5729,4526 By Matching Biggest Common Factor Method

Greatest Common Factor of 5729,4526 By Matching Biggest Common Factor Method

Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1,17,337,5729

Factors of 4526

List of positive integer factors of 4526 that divides 4526 without a remainder.

1,2,31,62,73,146,2263,4526

Greatest Common Factor

We found the factors 5729,4526 . The biggest common factor number is the GCF number.
So the greatest common factor 5729,4526 is 1.

Lets's calculate LCM of 621,793

Given numbers has no common factors except 1. So, there LCM is their product i.e 492453

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/492453

Therefore, the GCF of Fractions 5729/621,4526/793 is 1/492453

Least Common Multiple of 621,793 with GCF Formula

Least Common Multiple of 621,793 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 621,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,793) = 1

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

GCF(621,793) x common factors =1 x 1 = 1

LCM(621,793) = ( 621 × 793 ) / 1

LCM(621,793) = 492453 / 1

LCM(621,793) = 492453


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 5729/621, 4526/793

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 5729/621, 4526/793?

Answer: GCF of Numerators as per given numbers 5729/621, 4526/793 is

GCF of Numerators i.e. for 5729,4526 is 1

LCM of denominators i.e. for 621,793 is 492453.

Thus, GCF of Fractions is 1/492453.Finally, GCF of Fractions for 5729/621, 4526/793 is 1/492453.