Greatest Common Factor of 213/755, 390/984, 304/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/755, 390/984, 304/423

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 213/755,390/984,304/423

Given fractions are 213/755,390/984,304/423

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 213,390,304

Greatest Common Factor of Numerators i.e. GCF of 213,390,304 is 1 .

LCM of Denominators means LCM of 755,984,423 as per the given fractions.

LCM of 755,984,423 is 104751720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,390,304

GCF of Fractions 213/755,390/984,304/423 is 1/104751720

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

Greatest Common Factor of 213,390,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,390,304 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 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 213,390,304 . The biggest common factor number is the GCF number.
So the greatest common factor 213,390,304 is 1.

Lets's calculate LCM of 755,984,423

3 755, 984, 423
755, 328, 141

∴ So the LCM of the given numbers is 3 x 755 x 328 x 141 = 104751720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104751720

Therefore, the GCF of Fractions 213/755,390/984,304/423 is 1/104751720

Least Common Multiple of 755,984,423 with GCF Formula

Least Common Multiple of 755,984,423 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 755,984,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,984,423) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(755,984,423) x common factors =1 x 3 = 3

LCM(755,984,423) = ( 755 × 984 × 423 ) / 3

LCM(755,984,423) = 314255160 / 3

LCM(755,984,423) = 104751720


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 213/755, 390/984, 304/423

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 213/755, 390/984, 304/423?

Answer: GCF of Numerators as per given numbers 213/755, 390/984, 304/423 is

GCF of Numerators i.e. for 213,390,304 is 1

LCM of denominators i.e. for 755,984,423 is 104751720.

Thus, GCF of Fractions is 1/104751720.Finally, GCF of Fractions for 213/755, 390/984, 304/423 is 1/104751720.