Greatest Common Factor of 804/286, 960/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 804/286, 960/364

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 804/286,960/364

Given fractions are 804/286,960/364

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 804,960

Greatest Common Factor of Numerators i.e. GCF of 804,960 is 12 .

LCM of Denominators means LCM of 286,364 as per the given fractions.

LCM of 286,364 is 4004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 804,960

GCF of Fractions 804/286,960/364 is 12/4004

2 804, 960
2 402, 480
3 201, 240
67, 80

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

Greatest Common Factor of 804,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,960 By Matching Biggest Common Factor Method

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

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 804,960 . The biggest common factor number is the GCF number.
So the greatest common factor 804,960 is 12.

Lets's calculate LCM of 286,364

2 286, 364
13 143, 182
11, 14

∴ So the LCM of the given numbers is 2 x 13 x 11 x 14 = 4004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4004

Therefore, the GCF of Fractions 804/286,960/364 is 12/4004

Least Common Multiple of 286,364 with GCF Formula

Least Common Multiple of 286,364 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 286,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,364) = 26

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

GCF(286,364) x common factors =26 x 1 = 26

LCM(286,364) = ( 286 × 364 ) / 26

LCM(286,364) = 104104 / 26

LCM(286,364) = 4004


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 804/286, 960/364

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 804/286, 960/364?

Answer: GCF of Numerators as per given numbers 804/286, 960/364 is

GCF of Numerators i.e. for 804,960 is 12

LCM of denominators i.e. for 286,364 is 4004.

Thus, GCF of Fractions is 12/4004.Finally, GCF of Fractions for 804/286, 960/364 is 12/4004.