Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/22,591/81,997/45
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 9,591,997
Greatest Common Factor of Numerators i.e. GCF of 9,591,997 is 1 .
LCM of Denominators means LCM of 22,81,45 as per the given fractions.
LCM of 22,81,45 is 8910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,591,997
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Greatest Common Factor
We found the factors 9,591,997 . The biggest common factor number is the GCF number.
So the greatest common factor 9,591,997 is 1.
Lets's calculate LCM of 22,81,45
3 | 22, 81, 45 |
3 | 22, 27, 15 |
22, 9, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 22 x 9 x 5 = 8910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8910
Therefore, the GCF of Fractions 9/22,591/81,997/45 is 1/8910
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 22,81,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,81,45) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(22,81,45) x common factors =1 x 9 = 9
LCM(22,81,45) = ( 22 × 81 × 45 ) / 9
LCM(22,81,45) = 80190 / 9
LCM(22,81,45) = 8910
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 9/22, 591/81, 997/45?
Answer: GCF of Numerators as per given numbers 9/22, 591/81, 997/45 is
GCF of Numerators i.e. for 9,591,997 is 1
LCM of denominators i.e. for 22,81,45 is 8910.
Thus, GCF of Fractions is 1/8910.Finally, GCF of Fractions for 9/22, 591/81, 997/45 is 1/8910.