Greatest Common Factor of 200/42, 6714/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 200/42, 6714/346

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 200/42,6714/346

Given fractions are 200/42,6714/346

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 200,6714

Greatest Common Factor of Numerators i.e. GCF of 200,6714 is 2 .

LCM of Denominators means LCM of 42,346 as per the given fractions.

LCM of 42,346 is 7266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 200,6714

GCF of Fractions 200/42,6714/346 is 2/7266

2 200, 6714
100, 3357

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

Greatest Common Factor of 200,6714 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,6714 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 6714

List of positive integer factors of 6714 that divides 6714 without a remainder.

1,2,3,6,9,18,373,746,1119,2238,3357,6714

Greatest Common Factor

We found the factors 200,6714 . The biggest common factor number is the GCF number.
So the greatest common factor 200,6714 is 2.

Lets's calculate LCM of 42,346

2 42, 346
21, 173

∴ So the LCM of the given numbers is 2 x 21 x 173 = 7266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7266

Therefore, the GCF of Fractions 200/42,6714/346 is 2/7266

Least Common Multiple of 42,346 with GCF Formula

Least Common Multiple of 42,346 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 42,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,346) = 2

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

GCF(42,346) x common factors =2 x 1 = 2

LCM(42,346) = ( 42 × 346 ) / 2

LCM(42,346) = 14532 / 2

LCM(42,346) = 7266


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 200/42, 6714/346

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 200/42, 6714/346?

Answer: GCF of Numerators as per given numbers 200/42, 6714/346 is

GCF of Numerators i.e. for 200,6714 is 2

LCM of denominators i.e. for 42,346 is 7266.

Thus, GCF of Fractions is 2/7266.Finally, GCF of Fractions for 200/42, 6714/346 is 2/7266.