Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9089/73,9436/219
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 9089,9436
Greatest Common Factor of Numerators i.e. GCF of 9089,9436 is 1 .
LCM of Denominators means LCM of 73,219 as per the given fractions.
LCM of 73,219 is 219 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9089,9436
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9089
List of positive integer factors of 9089 that divides 9089 without a remainder.
1,61,149,9089
Factors of 9436
List of positive integer factors of 9436 that divides 9436 without a remainder.
1,2,4,7,14,28,337,674,1348,2359,4718,9436
Greatest Common Factor
We found the factors 9089,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 9089,9436 is 1.
Lets's calculate LCM of 73,219
73 | 73, 219 |
1, 3 |
∴ So the LCM of the given numbers is 73 x 1 x 3 = 219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219
Therefore, the GCF of Fractions 9089/73,9436/219 is 1/219
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 73,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,219) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(73,219) x common factors =73 x 1 = 73
LCM(73,219) = ( 73 × 219 ) / 73
LCM(73,219) = 15987 / 73
LCM(73,219) = 219
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 9089/73, 9436/219?
Answer: GCF of Numerators as per given numbers 9089/73, 9436/219 is
GCF of Numerators i.e. for 9089,9436 is 1
LCM of denominators i.e. for 73,219 is 219.
Thus, GCF of Fractions is 1/219.Finally, GCF of Fractions for 9089/73, 9436/219 is 1/219.