Greatest Common Factor of 804/819, 987/546, 120/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 804/819, 987/546, 120/595

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 804/819,987/546,120/595

Given fractions are 804/819,987/546,120/595

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 804,987,120

Greatest Common Factor of Numerators i.e. GCF of 804,987,120 is 3 .

LCM of Denominators means LCM of 819,546,595 as per the given fractions.

LCM of 819,546,595 is 139230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 804,987,120

GCF of Fractions 804/819,987/546,120/595 is 3/139230

3 804, 987, 120
268, 329, 40

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 804,987,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,987,120 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 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 804,987,120 . The biggest common factor number is the GCF number.
So the greatest common factor 804,987,120 is 3.

Lets's calculate LCM of 819,546,595

3 819, 546, 595
7 273, 182, 595
13 39, 26, 85
3, 2, 85

∴ So the LCM of the given numbers is 3 x 7 x 13 x 3 x 2 x 85 = 139230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/139230

Therefore, the GCF of Fractions 804/819,987/546,120/595 is 3/139230

Least Common Multiple of 819,546,595 with GCF Formula

Least Common Multiple of 819,546,595 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 819,546,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,546,595) = 7

common factors(in case of two or more numbers have common factors) = 273

GCF(819,546,595) x common factors =7 x 273 = 1911

LCM(819,546,595) = ( 819 × 546 × 595 ) / 1911

LCM(819,546,595) = 266068530 / 1911

LCM(819,546,595) = 139230


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 804/819, 987/546, 120/595

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 804/819, 987/546, 120/595?

Answer: GCF of Numerators as per given numbers 804/819, 987/546, 120/595 is

GCF of Numerators i.e. for 804,987,120 is 3

LCM of denominators i.e. for 819,546,595 is 139230.

Thus, GCF of Fractions is 3/139230.Finally, GCF of Fractions for 804/819, 987/546, 120/595 is 3/139230.