Greatest Common Factor of 213/12, 364/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/12, 364/368

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 213/12,364/368

Given fractions are 213/12,364/368

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 213,364

Greatest Common Factor of Numerators i.e. GCF of 213,364 is 1 .

LCM of Denominators means LCM of 12,368 as per the given fractions.

LCM of 12,368 is 1104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,364

GCF of Fractions 213/12,364/368 is 1/1104

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

Greatest Common Factor of 213,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,364 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 213,364 . The biggest common factor number is the GCF number.
So the greatest common factor 213,364 is 1.

Lets's calculate LCM of 12,368

2 12, 368
2 6, 184
3, 92

∴ So the LCM of the given numbers is 2 x 2 x 3 x 92 = 1104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1104

Therefore, the GCF of Fractions 213/12,364/368 is 1/1104

Least Common Multiple of 12,368 with GCF Formula

Least Common Multiple of 12,368 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 12,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,368) = 4

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

GCF(12,368) x common factors =4 x 1 = 4

LCM(12,368) = ( 12 × 368 ) / 4

LCM(12,368) = 4416 / 4

LCM(12,368) = 1104


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 213/12, 364/368

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 213/12, 364/368?

Answer: GCF of Numerators as per given numbers 213/12, 364/368 is

GCF of Numerators i.e. for 213,364 is 1

LCM of denominators i.e. for 12,368 is 1104.

Thus, GCF of Fractions is 1/1104.Finally, GCF of Fractions for 213/12, 364/368 is 1/1104.