Greatest Common Factor of 830/305, 159/204, 804/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/305, 159/204, 804/426

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 830/305,159/204,804/426

Given fractions are 830/305,159/204,804/426

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 830,159,804

Greatest Common Factor of Numerators i.e. GCF of 830,159,804 is 1 .

LCM of Denominators means LCM of 305,204,426 as per the given fractions.

LCM of 305,204,426 is 4417620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,159,804

GCF of Fractions 830/305,159/204,804/426 is 1/4417620

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

Greatest Common Factor of 830,159,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,159,804 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 830,159,804 . The biggest common factor number is the GCF number.
So the greatest common factor 830,159,804 is 1.

Lets's calculate LCM of 305,204,426

2 305, 204, 426
3 305, 102, 213
305, 34, 71

∴ So the LCM of the given numbers is 2 x 3 x 305 x 34 x 71 = 4417620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4417620

Therefore, the GCF of Fractions 830/305,159/204,804/426 is 1/4417620

Least Common Multiple of 305,204,426 with GCF Formula

Least Common Multiple of 305,204,426 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 305,204,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,204,426) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(305,204,426) x common factors =1 x 6 = 6

LCM(305,204,426) = ( 305 × 204 × 426 ) / 6

LCM(305,204,426) = 26505720 / 6

LCM(305,204,426) = 4417620


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 830/305, 159/204, 804/426

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 830/305, 159/204, 804/426?

Answer: GCF of Numerators as per given numbers 830/305, 159/204, 804/426 is

GCF of Numerators i.e. for 830,159,804 is 1

LCM of denominators i.e. for 305,204,426 is 4417620.

Thus, GCF of Fractions is 1/4417620.Finally, GCF of Fractions for 830/305, 159/204, 804/426 is 1/4417620.