Greatest Common Factor of 400/33, 890/9114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 400/33, 890/9114

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 400/33,890/9114

Given fractions are 400/33,890/9114

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 400,890

Greatest Common Factor of Numerators i.e. GCF of 400,890 is 10 .

LCM of Denominators means LCM of 33,9114 as per the given fractions.

LCM of 33,9114 is 100254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 400,890

GCF of Fractions 400/33,890/9114 is 10/100254

2 400, 890
5 200, 445
40, 89

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 400,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,890 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

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

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 400,890 . The biggest common factor number is the GCF number.
So the greatest common factor 400,890 is 10.

Lets's calculate LCM of 33,9114

3 33, 9114
11, 3038

∴ So the LCM of the given numbers is 3 x 11 x 3038 = 100254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/100254

Therefore, the GCF of Fractions 400/33,890/9114 is 10/100254

Least Common Multiple of 33,9114 with GCF Formula

Least Common Multiple of 33,9114 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 33,9114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,9114) = 3

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

GCF(33,9114) x common factors =3 x 1 = 3

LCM(33,9114) = ( 33 × 9114 ) / 3

LCM(33,9114) = 300762 / 3

LCM(33,9114) = 100254


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 400/33, 890/9114

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 400/33, 890/9114?

Answer: GCF of Numerators as per given numbers 400/33, 890/9114 is

GCF of Numerators i.e. for 400,890 is 10

LCM of denominators i.e. for 33,9114 is 100254.

Thus, GCF of Fractions is 10/100254.Finally, GCF of Fractions for 400/33, 890/9114 is 10/100254.