Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/70,171/81,914/36
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 741,171,914
Greatest Common Factor of Numerators i.e. GCF of 741,171,914 is 1 .
LCM of Denominators means LCM of 70,81,36 as per the given fractions.
LCM of 70,81,36 is 11340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 741,171,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 741,171,914 . The biggest common factor number is the GCF number.
So the greatest common factor 741,171,914 is 1.
Lets's calculate LCM of 70,81,36
2 | 70, 81, 36 |
3 | 35, 81, 18 |
3 | 35, 27, 6 |
35, 9, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 35 x 9 x 2 = 11340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11340
Therefore, the GCF of Fractions 741/70,171/81,914/36 is 1/11340
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 70,81,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,81,36) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(70,81,36) x common factors =1 x 18 = 18
LCM(70,81,36) = ( 70 × 81 × 36 ) / 18
LCM(70,81,36) = 204120 / 18
LCM(70,81,36) = 11340
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 741/70, 171/81, 914/36?
Answer: GCF of Numerators as per given numbers 741/70, 171/81, 914/36 is
GCF of Numerators i.e. for 741,171,914 is 1
LCM of denominators i.e. for 70,81,36 is 11340.
Thus, GCF of Fractions is 1/11340.Finally, GCF of Fractions for 741/70, 171/81, 914/36 is 1/11340.