Greatest Common Factor of 996/578, 312/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 996/578, 312/855

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 996/578,312/855

Given fractions are 996/578,312/855

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 996,312

Greatest Common Factor of Numerators i.e. GCF of 996,312 is 12 .

LCM of Denominators means LCM of 578,855 as per the given fractions.

LCM of 578,855 is 494190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 996,312

GCF of Fractions 996/578,312/855 is 12/494190

2 996, 312
2 498, 156
3 249, 78
83, 26

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 996,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,312 By Matching Biggest Common Factor Method

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

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 996,312 . The biggest common factor number is the GCF number.
So the greatest common factor 996,312 is 12.

Lets's calculate LCM of 578,855

Given numbers has no common factors except 1. So, there LCM is their product i.e 494190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/494190

Therefore, the GCF of Fractions 996/578,312/855 is 12/494190

Least Common Multiple of 578,855 with GCF Formula

Least Common Multiple of 578,855 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 578,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,855) = 1

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

GCF(578,855) x common factors =1 x 1 = 1

LCM(578,855) = ( 578 × 855 ) / 1

LCM(578,855) = 494190 / 1

LCM(578,855) = 494190


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 996/578, 312/855

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 996/578, 312/855?

Answer: GCF of Numerators as per given numbers 996/578, 312/855 is

GCF of Numerators i.e. for 996,312 is 12

LCM of denominators i.e. for 578,855 is 494190.

Thus, GCF of Fractions is 12/494190.Finally, GCF of Fractions for 996/578, 312/855 is 12/494190.