Greatest Common Factor of 849/34, 120/66, 559/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 849/34, 120/66, 559/900

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 849/34,120/66,559/900

Given fractions are 849/34,120/66,559/900

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 849,120,559

Greatest Common Factor of Numerators i.e. GCF of 849,120,559 is 1 .

LCM of Denominators means LCM of 34,66,900 as per the given fractions.

LCM of 34,66,900 is 168300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 849,120,559

GCF of Fractions 849/34,120/66,559/900 is 1/168300

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

Greatest Common Factor of 849,120,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,120,559 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

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

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 849,120,559 . The biggest common factor number is the GCF number.
So the greatest common factor 849,120,559 is 1.

Lets's calculate LCM of 34,66,900

2 34, 66, 900
3 17, 33, 450
17, 11, 150

∴ So the LCM of the given numbers is 2 x 3 x 17 x 11 x 150 = 168300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168300

Therefore, the GCF of Fractions 849/34,120/66,559/900 is 1/168300

Least Common Multiple of 34,66,900 with GCF Formula

Least Common Multiple of 34,66,900 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 34,66,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,66,900) = 2

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

GCF(34,66,900) x common factors =2 x 6 = 12

LCM(34,66,900) = ( 34 × 66 × 900 ) / 12

LCM(34,66,900) = 2019600 / 12

LCM(34,66,900) = 168300


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 849/34, 120/66, 559/900

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 849/34, 120/66, 559/900?

Answer: GCF of Numerators as per given numbers 849/34, 120/66, 559/900 is

GCF of Numerators i.e. for 849,120,559 is 1

LCM of denominators i.e. for 34,66,900 is 168300.

Thus, GCF of Fractions is 1/168300.Finally, GCF of Fractions for 849/34, 120/66, 559/900 is 1/168300.