Greatest Common Factor of 217/18, 869/40, 900/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 217/18, 869/40, 900/76

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 217/18,869/40,900/76

Given fractions are 217/18,869/40,900/76

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 217,869,900

Greatest Common Factor of Numerators i.e. GCF of 217,869,900 is 1 .

LCM of Denominators means LCM of 18,40,76 as per the given fractions.

LCM of 18,40,76 is 6840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 217,869,900

GCF of Fractions 217/18,869/40,900/76 is 1/6840

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

Greatest Common Factor of 217,869,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,869,900 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 217,869,900 . The biggest common factor number is the GCF number.
So the greatest common factor 217,869,900 is 1.

Lets's calculate LCM of 18,40,76

2 18, 40, 76
2 9, 20, 38
9, 10, 19

∴ So the LCM of the given numbers is 2 x 2 x 9 x 10 x 19 = 6840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6840

Therefore, the GCF of Fractions 217/18,869/40,900/76 is 1/6840

Least Common Multiple of 18,40,76 with GCF Formula

Least Common Multiple of 18,40,76 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 18,40,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,40,76) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(18,40,76) x common factors =2 x 4 = 8

LCM(18,40,76) = ( 18 × 40 × 76 ) / 8

LCM(18,40,76) = 54720 / 8

LCM(18,40,76) = 6840


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 217/18, 869/40, 900/76

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 217/18, 869/40, 900/76?

Answer: GCF of Numerators as per given numbers 217/18, 869/40, 900/76 is

GCF of Numerators i.e. for 217,869,900 is 1

LCM of denominators i.e. for 18,40,76 is 6840.

Thus, GCF of Fractions is 1/6840.Finally, GCF of Fractions for 217/18, 869/40, 900/76 is 1/6840.