Greatest Common Factor of 513/48, 733/47, 138/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/48, 733/47, 138/657

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 513/48,733/47,138/657

Given fractions are 513/48,733/47,138/657

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 513,733,138

Greatest Common Factor of Numerators i.e. GCF of 513,733,138 is 1 .

LCM of Denominators means LCM of 48,47,657 as per the given fractions.

LCM of 48,47,657 is 494064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,733,138

GCF of Fractions 513/48,733/47,138/657 is 1/494064

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

Greatest Common Factor of 513,733,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,733,138 By Matching Biggest Common Factor Method

Factors of 513

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

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

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 513,733,138 . The biggest common factor number is the GCF number.
So the greatest common factor 513,733,138 is 1.

Lets's calculate LCM of 48,47,657

3 48, 47, 657
16, 47, 219

∴ So the LCM of the given numbers is 3 x 16 x 47 x 219 = 494064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/494064

Therefore, the GCF of Fractions 513/48,733/47,138/657 is 1/494064

Least Common Multiple of 48,47,657 with GCF Formula

Least Common Multiple of 48,47,657 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 48,47,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,47,657) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(48,47,657) x common factors =1 x 3 = 3

LCM(48,47,657) = ( 48 × 47 × 657 ) / 3

LCM(48,47,657) = 1482192 / 3

LCM(48,47,657) = 494064


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 513/48, 733/47, 138/657

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 513/48, 733/47, 138/657?

Answer: GCF of Numerators as per given numbers 513/48, 733/47, 138/657 is

GCF of Numerators i.e. for 513,733,138 is 1

LCM of denominators i.e. for 48,47,657 is 494064.

Thus, GCF of Fractions is 1/494064.Finally, GCF of Fractions for 513/48, 733/47, 138/657 is 1/494064.