Greatest Common Factor of 899/458, 312/616, 590/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 899/458, 312/616, 590/804

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 899/458,312/616,590/804

Given fractions are 899/458,312/616,590/804

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 899,312,590

Greatest Common Factor of Numerators i.e. GCF of 899,312,590 is 1 .

LCM of Denominators means LCM of 458,616,804 as per the given fractions.

LCM of 458,616,804 is 28353864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 899,312,590

GCF of Fractions 899/458,312/616,590/804 is 1/28353864

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

Greatest Common Factor of 899,312,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,312,590 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

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

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 899,312,590 . The biggest common factor number is the GCF number.
So the greatest common factor 899,312,590 is 1.

Lets's calculate LCM of 458,616,804

2 458, 616, 804
2 229, 308, 402
229, 154, 201

∴ So the LCM of the given numbers is 2 x 2 x 229 x 154 x 201 = 28353864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28353864

Therefore, the GCF of Fractions 899/458,312/616,590/804 is 1/28353864

Least Common Multiple of 458,616,804 with GCF Formula

Least Common Multiple of 458,616,804 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 458,616,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,616,804) = 2

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

GCF(458,616,804) x common factors =2 x 4 = 8

LCM(458,616,804) = ( 458 × 616 × 804 ) / 8

LCM(458,616,804) = 226830912 / 8

LCM(458,616,804) = 28353864


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 899/458, 312/616, 590/804

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 899/458, 312/616, 590/804?

Answer: GCF of Numerators as per given numbers 899/458, 312/616, 590/804 is

GCF of Numerators i.e. for 899,312,590 is 1

LCM of denominators i.e. for 458,616,804 is 28353864.

Thus, GCF of Fractions is 1/28353864.Finally, GCF of Fractions for 899/458, 312/616, 590/804 is 1/28353864.