Greatest Common Factor of 743/95, 801/60, 513/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 743/95, 801/60, 513/636

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 743/95,801/60,513/636

Given fractions are 743/95,801/60,513/636

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 743,801,513

Greatest Common Factor of Numerators i.e. GCF of 743,801,513 is 1 .

LCM of Denominators means LCM of 95,60,636 as per the given fractions.

LCM of 95,60,636 is 60420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 743,801,513

GCF of Fractions 743/95,801/60,513/636 is 1/60420

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

Greatest Common Factor of 743,801,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,801,513 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 743,801,513 . The biggest common factor number is the GCF number.
So the greatest common factor 743,801,513 is 1.

Lets's calculate LCM of 95,60,636

2 95, 60, 636
2 95, 30, 318
3 95, 15, 159
5 95, 5, 53
19, 1, 53

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 19 x 1 x 53 = 60420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60420

Therefore, the GCF of Fractions 743/95,801/60,513/636 is 1/60420

Least Common Multiple of 95,60,636 with GCF Formula

Least Common Multiple of 95,60,636 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 95,60,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,60,636) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(95,60,636) x common factors =1 x 60 = 60

LCM(95,60,636) = ( 95 × 60 × 636 ) / 60

LCM(95,60,636) = 3625200 / 60

LCM(95,60,636) = 60420


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 743/95, 801/60, 513/636

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 743/95, 801/60, 513/636?

Answer: GCF of Numerators as per given numbers 743/95, 801/60, 513/636 is

GCF of Numerators i.e. for 743,801,513 is 1

LCM of denominators i.e. for 95,60,636 is 60420.

Thus, GCF of Fractions is 1/60420.Finally, GCF of Fractions for 743/95, 801/60, 513/636 is 1/60420.