Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/91,65/784,612/315
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 38,65,612
Greatest Common Factor of Numerators i.e. GCF of 38,65,612 is 1 .
LCM of Denominators means LCM of 91,784,315 as per the given fractions.
LCM of 91,784,315 is 458640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,65,612
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 38,65,612 . The biggest common factor number is the GCF number.
So the greatest common factor 38,65,612 is 1.
Lets's calculate LCM of 91,784,315
7 | 91, 784, 315 |
13, 112, 45 |
∴ So the LCM of the given numbers is 7 x 13 x 112 x 45 = 458640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/458640
Therefore, the GCF of Fractions 38/91,65/784,612/315 is 1/458640
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 91,784,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,784,315) = 7
common factors(in case of two or more numbers have common factors) = 7
GCF(91,784,315) x common factors =7 x 7 = 49
LCM(91,784,315) = ( 91 × 784 × 315 ) / 49
LCM(91,784,315) = 22473360 / 49
LCM(91,784,315) = 458640
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 38/91, 65/784, 612/315?
Answer: GCF of Numerators as per given numbers 38/91, 65/784, 612/315 is
GCF of Numerators i.e. for 38,65,612 is 1
LCM of denominators i.e. for 91,784,315 is 458640.
Thus, GCF of Fractions is 1/458640.Finally, GCF of Fractions for 38/91, 65/784, 612/315 is 1/458640.