Greatest Common Factor of 27/24, 630/84, 570/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/24, 630/84, 570/381

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 27/24,630/84,570/381

Given fractions are 27/24,630/84,570/381

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 27,630,570

Greatest Common Factor of Numerators i.e. GCF of 27,630,570 is 3 .

LCM of Denominators means LCM of 24,84,381 as per the given fractions.

LCM of 24,84,381 is 21336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,630,570

GCF of Fractions 27/24,630/84,570/381 is 3/21336

3 27, 630, 570
9, 210, 190

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 27,630,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,630,570 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 27,630,570 . The biggest common factor number is the GCF number.
So the greatest common factor 27,630,570 is 3.

Lets's calculate LCM of 24,84,381

2 24, 84, 381
2 12, 42, 381
3 6, 21, 381
2, 7, 127

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 7 x 127 = 21336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21336

Therefore, the GCF of Fractions 27/24,630/84,570/381 is 3/21336

Least Common Multiple of 24,84,381 with GCF Formula

Least Common Multiple of 24,84,381 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 24,84,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,84,381) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(24,84,381) x common factors =3 x 12 = 36

LCM(24,84,381) = ( 24 × 84 × 381 ) / 36

LCM(24,84,381) = 768096 / 36

LCM(24,84,381) = 21336


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 27/24, 630/84, 570/381

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 27/24, 630/84, 570/381?

Answer: GCF of Numerators as per given numbers 27/24, 630/84, 570/381 is

GCF of Numerators i.e. for 27,630,570 is 3

LCM of denominators i.e. for 24,84,381 is 21336.

Thus, GCF of Fractions is 3/21336.Finally, GCF of Fractions for 27/24, 630/84, 570/381 is 3/21336.