Greatest Common Factor of 60/800, 802/640, 804/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/800, 802/640, 804/170

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 60/800,802/640,804/170

Given fractions are 60/800,802/640,804/170

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 60,802,804

Greatest Common Factor of Numerators i.e. GCF of 60,802,804 is 2 .

LCM of Denominators means LCM of 800,640,170 as per the given fractions.

LCM of 800,640,170 is 54400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,802,804

GCF of Fractions 60/800,802/640,804/170 is 2/54400

2 60, 802, 804
30, 401, 402

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

Greatest Common Factor of 60,802,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,802,804 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

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 60,802,804 . The biggest common factor number is the GCF number.
So the greatest common factor 60,802,804 is 2.

Lets's calculate LCM of 800,640,170

2 800, 640, 170
2 400, 320, 85
2 200, 160, 85
2 100, 80, 85
2 50, 40, 85
5 25, 20, 85
5, 4, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 4 x 17 = 54400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54400

Therefore, the GCF of Fractions 60/800,802/640,804/170 is 2/54400

Least Common Multiple of 800,640,170 with GCF Formula

Least Common Multiple of 800,640,170 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 800,640,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,640,170) = 10

common factors(in case of two or more numbers have common factors) = 160

GCF(800,640,170) x common factors =10 x 160 = 1600

LCM(800,640,170) = ( 800 × 640 × 170 ) / 1600

LCM(800,640,170) = 87040000 / 1600

LCM(800,640,170) = 54400


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 60/800, 802/640, 804/170

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 60/800, 802/640, 804/170?

Answer: GCF of Numerators as per given numbers 60/800, 802/640, 804/170 is

GCF of Numerators i.e. for 60,802,804 is 2

LCM of denominators i.e. for 800,640,170 is 54400.

Thus, GCF of Fractions is 2/54400.Finally, GCF of Fractions for 60/800, 802/640, 804/170 is 2/54400.