Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/65,9/91,12/91,65/372
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 5,9,12,65
Greatest Common Factor of Numerators i.e. GCF of 5,9,12,65 is 1 .
LCM of Denominators means LCM of 65,91,91,372 as per the given fractions.
LCM of 65,91,91,372 is 169260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,9,12,65
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Greatest Common Factor
We found the factors 5,9,12,65 . The biggest common factor number is the GCF number.
So the greatest common factor 5,9,12,65 is 1.
Lets's calculate LCM of 65,91,91,372
7 | 65, 91, 91, 372 |
13 | 65, 13, 13, 372 |
5, 1, 1, 372 |
∴ So the LCM of the given numbers is 7 x 13 x 5 x 1 x 1 x 372 = 169260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169260
Therefore, the GCF of Fractions 5/65,9/91,12/91,65/372 is 1/169260
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 65,91,91,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,91,91,372) = 1
common factors(in case of two or more numbers have common factors) = 1183
GCF(65,91,91,372) x common factors =1 x 1183 = 1183
LCM(65,91,91,372) = ( 65 × 91 × 91 × 372 ) / 1183
LCM(65,91,91,372) = 200234580 / 1183
LCM(65,91,91,372) = 169260
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 5/65, 9/91, 12/91, 65/372?
Answer: GCF of Numerators as per given numbers 5/65, 9/91, 12/91, 65/372 is
GCF of Numerators i.e. for 5,9,12,65 is 1
LCM of denominators i.e. for 65,91,91,372 is 169260.
Thus, GCF of Fractions is 1/169260.Finally, GCF of Fractions for 5/65, 9/91, 12/91, 65/372 is 1/169260.