Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/25,45/13,147/637
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 36,45,147
Greatest Common Factor of Numerators i.e. GCF of 36,45,147 is 3 .
LCM of Denominators means LCM of 25,13,637 as per the given fractions.
LCM of 25,13,637 is 15925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,45,147
3 | 36, 45, 147 |
12, 15, 49 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 36,45,147 . The biggest common factor number is the GCF number.
So the greatest common factor 36,45,147 is 3.
Lets's calculate LCM of 25,13,637
13 | 25, 13, 637 |
25, 1, 49 |
∴ So the LCM of the given numbers is 13 x 25 x 1 x 49 = 15925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15925
Therefore, the GCF of Fractions 36/25,45/13,147/637 is 3/15925
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 25,13,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,13,637) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(25,13,637) x common factors =1 x 13 = 13
LCM(25,13,637) = ( 25 × 13 × 637 ) / 13
LCM(25,13,637) = 207025 / 13
LCM(25,13,637) = 15925
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 36/25, 45/13, 147/637?
Answer: GCF of Numerators as per given numbers 36/25, 45/13, 147/637 is
GCF of Numerators i.e. for 36,45,147 is 3
LCM of denominators i.e. for 25,13,637 is 15925.
Thus, GCF of Fractions is 3/15925.Finally, GCF of Fractions for 36/25, 45/13, 147/637 is 3/15925.