Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 983/15,225/25,437/36
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 983,225,437
Greatest Common Factor of Numerators i.e. GCF of 983,225,437 is 1 .
LCM of Denominators means LCM of 15,25,36 as per the given fractions.
LCM of 15,25,36 is 900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 983,225,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Greatest Common Factor
We found the factors 983,225,437 . The biggest common factor number is the GCF number.
So the greatest common factor 983,225,437 is 1.
Lets's calculate LCM of 15,25,36
3 | 15, 25, 36 |
5 | 5, 25, 12 |
1, 5, 12 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 5 x 12 = 900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900
Therefore, the GCF of Fractions 983/15,225/25,437/36 is 1/900
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 15,25,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,25,36) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(15,25,36) x common factors =1 x 15 = 15
LCM(15,25,36) = ( 15 × 25 × 36 ) / 15
LCM(15,25,36) = 13500 / 15
LCM(15,25,36) = 900
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 983/15, 225/25, 437/36?
Answer: GCF of Numerators as per given numbers 983/15, 225/25, 437/36 is
GCF of Numerators i.e. for 983,225,437 is 1
LCM of denominators i.e. for 15,25,36 is 900.
Thus, GCF of Fractions is 1/900.Finally, GCF of Fractions for 983/15, 225/25, 437/36 is 1/900.