Greatest Common Factor of 200/689, 668/204, 201/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 200/689, 668/204, 201/834

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 200/689,668/204,201/834

Given fractions are 200/689,668/204,201/834

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 200,668,201

Greatest Common Factor of Numerators i.e. GCF of 200,668,201 is 1 .

LCM of Denominators means LCM of 689,204,834 as per the given fractions.

LCM of 689,204,834 is 19537284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 200,668,201

GCF of Fractions 200/689,668/204,201/834 is 1/19537284

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

Greatest Common Factor of 200,668,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,668,201 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 200,668,201 . The biggest common factor number is the GCF number.
So the greatest common factor 200,668,201 is 1.

Lets's calculate LCM of 689,204,834

2 689, 204, 834
3 689, 102, 417
689, 34, 139

∴ So the LCM of the given numbers is 2 x 3 x 689 x 34 x 139 = 19537284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19537284

Therefore, the GCF of Fractions 200/689,668/204,201/834 is 1/19537284

Least Common Multiple of 689,204,834 with GCF Formula

Least Common Multiple of 689,204,834 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 689,204,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,204,834) = 1

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

GCF(689,204,834) x common factors =1 x 6 = 6

LCM(689,204,834) = ( 689 × 204 × 834 ) / 6

LCM(689,204,834) = 117223704 / 6

LCM(689,204,834) = 19537284


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 200/689, 668/204, 201/834

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 200/689, 668/204, 201/834?

Answer: GCF of Numerators as per given numbers 200/689, 668/204, 201/834 is

GCF of Numerators i.e. for 200,668,201 is 1

LCM of denominators i.e. for 689,204,834 is 19537284.

Thus, GCF of Fractions is 1/19537284.Finally, GCF of Fractions for 200/689, 668/204, 201/834 is 1/19537284.