Greatest Common Factor of 513/63, 838/16, 406/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/63, 838/16, 406/68

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 513/63,838/16,406/68

Given fractions are 513/63,838/16,406/68

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 513,838,406

Greatest Common Factor of Numerators i.e. GCF of 513,838,406 is 1 .

LCM of Denominators means LCM of 63,16,68 as per the given fractions.

LCM of 63,16,68 is 17136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,838,406

GCF of Fractions 513/63,838/16,406/68 is 1/17136

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

Greatest Common Factor of 513,838,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,838,406 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 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 513,838,406 . The biggest common factor number is the GCF number.
So the greatest common factor 513,838,406 is 1.

Lets's calculate LCM of 63,16,68

2 63, 16, 68
2 63, 8, 34
63, 4, 17

∴ So the LCM of the given numbers is 2 x 2 x 63 x 4 x 17 = 17136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17136

Therefore, the GCF of Fractions 513/63,838/16,406/68 is 1/17136

Least Common Multiple of 63,16,68 with GCF Formula

Least Common Multiple of 63,16,68 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 63,16,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,16,68) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(63,16,68) x common factors =1 x 4 = 4

LCM(63,16,68) = ( 63 × 16 × 68 ) / 4

LCM(63,16,68) = 68544 / 4

LCM(63,16,68) = 17136


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 513/63, 838/16, 406/68

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 513/63, 838/16, 406/68?

Answer: GCF of Numerators as per given numbers 513/63, 838/16, 406/68 is

GCF of Numerators i.e. for 513,838,406 is 1

LCM of denominators i.e. for 63,16,68 is 17136.

Thus, GCF of Fractions is 1/17136.Finally, GCF of Fractions for 513/63, 838/16, 406/68 is 1/17136.