Greatest Common Factor of 904/288, 312/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 904/288, 312/797

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 904/288,312/797

Given fractions are 904/288,312/797

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 904,312

Greatest Common Factor of Numerators i.e. GCF of 904,312 is 8 .

LCM of Denominators means LCM of 288,797 as per the given fractions.

LCM of 288,797 is 229536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 904,312

GCF of Fractions 904/288,312/797 is 8/229536

2 904, 312
2 452, 156
2 226, 78
113, 39

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 904,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,312 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

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 904,312 . The biggest common factor number is the GCF number.
So the greatest common factor 904,312 is 8.

Lets's calculate LCM of 288,797

Given numbers has no common factors except 1. So, there LCM is their product i.e 229536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/229536

Therefore, the GCF of Fractions 904/288,312/797 is 8/229536

Least Common Multiple of 288,797 with GCF Formula

Least Common Multiple of 288,797 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 288,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,797) = 1

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

GCF(288,797) x common factors =1 x 1 = 1

LCM(288,797) = ( 288 × 797 ) / 1

LCM(288,797) = 229536 / 1

LCM(288,797) = 229536


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 904/288, 312/797

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 904/288, 312/797?

Answer: GCF of Numerators as per given numbers 904/288, 312/797 is

GCF of Numerators i.e. for 904,312 is 8

LCM of denominators i.e. for 288,797 is 229536.

Thus, GCF of Fractions is 8/229536.Finally, GCF of Fractions for 904/288, 312/797 is 8/229536.