Greatest Common Factor of 899/21, 800/27, 690/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 899/21, 800/27, 690/137

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 899/21,800/27,690/137

Given fractions are 899/21,800/27,690/137

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 899,800,690

Greatest Common Factor of Numerators i.e. GCF of 899,800,690 is 1 .

LCM of Denominators means LCM of 21,27,137 as per the given fractions.

LCM of 21,27,137 is 25893 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 899,800,690

GCF of Fractions 899/21,800/27,690/137 is 1/25893

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

Greatest Common Factor of 899,800,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,800,690 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

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 899,800,690 . The biggest common factor number is the GCF number.
So the greatest common factor 899,800,690 is 1.

Lets's calculate LCM of 21,27,137

3 21, 27, 137
7, 9, 137

∴ So the LCM of the given numbers is 3 x 7 x 9 x 137 = 25893

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25893

Therefore, the GCF of Fractions 899/21,800/27,690/137 is 1/25893

Least Common Multiple of 21,27,137 with GCF Formula

Least Common Multiple of 21,27,137 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 21,27,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,27,137) = 1

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

GCF(21,27,137) x common factors =1 x 3 = 3

LCM(21,27,137) = ( 21 × 27 × 137 ) / 3

LCM(21,27,137) = 77679 / 3

LCM(21,27,137) = 25893


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 899/21, 800/27, 690/137

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 899/21, 800/27, 690/137?

Answer: GCF of Numerators as per given numbers 899/21, 800/27, 690/137 is

GCF of Numerators i.e. for 899,800,690 is 1

LCM of denominators i.e. for 21,27,137 is 25893.

Thus, GCF of Fractions is 1/25893.Finally, GCF of Fractions for 899/21, 800/27, 690/137 is 1/25893.