Greatest Common Factor of 506/64, 857/99, 996/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/64, 857/99, 996/594

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 506/64,857/99,996/594

Given fractions are 506/64,857/99,996/594

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 506,857,996

Greatest Common Factor of Numerators i.e. GCF of 506,857,996 is 1 .

LCM of Denominators means LCM of 64,99,594 as per the given fractions.

LCM of 64,99,594 is 19008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,857,996

GCF of Fractions 506/64,857/99,996/594 is 1/19008

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

Greatest Common Factor of 506,857,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,857,996 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 506,857,996 . The biggest common factor number is the GCF number.
So the greatest common factor 506,857,996 is 1.

Lets's calculate LCM of 64,99,594

2 64, 99, 594
3 32, 99, 297
3 32, 33, 99
11 32, 11, 33
32, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 32 x 1 x 3 = 19008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19008

Therefore, the GCF of Fractions 506/64,857/99,996/594 is 1/19008

Least Common Multiple of 64,99,594 with GCF Formula

Least Common Multiple of 64,99,594 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 64,99,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,99,594) = 1

common factors(in case of two or more numbers have common factors) = 198

GCF(64,99,594) x common factors =1 x 198 = 198

LCM(64,99,594) = ( 64 × 99 × 594 ) / 198

LCM(64,99,594) = 3763584 / 198

LCM(64,99,594) = 19008


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 506/64, 857/99, 996/594

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 506/64, 857/99, 996/594?

Answer: GCF of Numerators as per given numbers 506/64, 857/99, 996/594 is

GCF of Numerators i.e. for 506,857,996 is 1

LCM of denominators i.e. for 64,99,594 is 19008.

Thus, GCF of Fractions is 1/19008.Finally, GCF of Fractions for 506/64, 857/99, 996/594 is 1/19008.