Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/15,53/22,341/990
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 41,53,341
Greatest Common Factor of Numerators i.e. GCF of 41,53,341 is 1 .
LCM of Denominators means LCM of 15,22,990 as per the given fractions.
LCM of 15,22,990 is 990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 41,53,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 41,53,341 . The biggest common factor number is the GCF number.
So the greatest common factor 41,53,341 is 1.
Lets's calculate LCM of 15,22,990
2 | 15, 22, 990 |
3 | 15, 11, 495 |
5 | 5, 11, 165 |
11 | 1, 11, 33 |
1, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 1 x 3 = 990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990
Therefore, the GCF of Fractions 41/15,53/22,341/990 is 1/990
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 15,22,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,22,990) = 1
common factors(in case of two or more numbers have common factors) = 330
GCF(15,22,990) x common factors =1 x 330 = 330
LCM(15,22,990) = ( 15 × 22 × 990 ) / 330
LCM(15,22,990) = 326700 / 330
LCM(15,22,990) = 990
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 41/15, 53/22, 341/990?
Answer: GCF of Numerators as per given numbers 41/15, 53/22, 341/990 is
GCF of Numerators i.e. for 41,53,341 is 1
LCM of denominators i.e. for 15,22,990 is 990.
Thus, GCF of Fractions is 1/990.Finally, GCF of Fractions for 41/15, 53/22, 341/990 is 1/990.