Greatest Common Factor of 899/40, 107/11, 203/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 899/40, 107/11, 203/95

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 899/40,107/11,203/95

Given fractions are 899/40,107/11,203/95

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 899,107,203

Greatest Common Factor of Numerators i.e. GCF of 899,107,203 is 1 .

LCM of Denominators means LCM of 40,11,95 as per the given fractions.

LCM of 40,11,95 is 8360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 899,107,203

GCF of Fractions 899/40,107/11,203/95 is 1/8360

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

Greatest Common Factor of 899,107,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,107,203 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 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 899,107,203 . The biggest common factor number is the GCF number.
So the greatest common factor 899,107,203 is 1.

Lets's calculate LCM of 40,11,95

5 40, 11, 95
8, 11, 19

∴ So the LCM of the given numbers is 5 x 8 x 11 x 19 = 8360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8360

Therefore, the GCF of Fractions 899/40,107/11,203/95 is 1/8360

Least Common Multiple of 40,11,95 with GCF Formula

Least Common Multiple of 40,11,95 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 40,11,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,11,95) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(40,11,95) x common factors =1 x 5 = 5

LCM(40,11,95) = ( 40 × 11 × 95 ) / 5

LCM(40,11,95) = 41800 / 5

LCM(40,11,95) = 8360


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 899/40, 107/11, 203/95

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 899/40, 107/11, 203/95?

Answer: GCF of Numerators as per given numbers 899/40, 107/11, 203/95 is

GCF of Numerators i.e. for 899,107,203 is 1

LCM of denominators i.e. for 40,11,95 is 8360.

Thus, GCF of Fractions is 1/8360.Finally, GCF of Fractions for 899/40, 107/11, 203/95 is 1/8360.