Greatest Common Factor of 27/33, 429/59, 690/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/33, 429/59, 690/340

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 27/33,429/59,690/340

Given fractions are 27/33,429/59,690/340

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 27,429,690

Greatest Common Factor of Numerators i.e. GCF of 27,429,690 is 3 .

LCM of Denominators means LCM of 33,59,340 as per the given fractions.

LCM of 33,59,340 is 661980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,429,690

GCF of Fractions 27/33,429/59,690/340 is 3/661980

3 27, 429, 690
9, 143, 230

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

Greatest Common Factor of 27,429,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,429,690 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 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 27,429,690 . The biggest common factor number is the GCF number.
So the greatest common factor 27,429,690 is 3.

Lets's calculate LCM of 33,59,340

Given numbers has no common factors except 1. So, there LCM is their product i.e 661980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/661980

Therefore, the GCF of Fractions 27/33,429/59,690/340 is 3/661980

Least Common Multiple of 33,59,340 with GCF Formula

Least Common Multiple of 33,59,340 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 33,59,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,59,340) = 1

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

GCF(33,59,340) x common factors =1 x 1 = 1

LCM(33,59,340) = ( 33 × 59 × 340 ) / 1

LCM(33,59,340) = 661980 / 1

LCM(33,59,340) = 661980


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 27/33, 429/59, 690/340

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 27/33, 429/59, 690/340?

Answer: GCF of Numerators as per given numbers 27/33, 429/59, 690/340 is

GCF of Numerators i.e. for 27,429,690 is 3

LCM of denominators i.e. for 33,59,340 is 661980.

Thus, GCF of Fractions is 3/661980.Finally, GCF of Fractions for 27/33, 429/59, 690/340 is 3/661980.