Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 450/24,968/20,405/597
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 450,968,405
Greatest Common Factor of Numerators i.e. GCF of 450,968,405 is 1 .
LCM of Denominators means LCM of 24,20,597 as per the given fractions.
LCM of 24,20,597 is 23880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 450,968,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 450,968,405 . The biggest common factor number is the GCF number.
So the greatest common factor 450,968,405 is 1.
Lets's calculate LCM of 24,20,597
2 | 24, 20, 597 |
2 | 12, 10, 597 |
3 | 6, 5, 597 |
2, 5, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 5 x 199 = 23880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23880
Therefore, the GCF of Fractions 450/24,968/20,405/597 is 1/23880
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 24,20,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,20,597) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(24,20,597) x common factors =1 x 12 = 12
LCM(24,20,597) = ( 24 × 20 × 597 ) / 12
LCM(24,20,597) = 286560 / 12
LCM(24,20,597) = 23880
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 450/24, 968/20, 405/597?
Answer: GCF of Numerators as per given numbers 450/24, 968/20, 405/597 is
GCF of Numerators i.e. for 450,968,405 is 1
LCM of denominators i.e. for 24,20,597 is 23880.
Thus, GCF of Fractions is 1/23880.Finally, GCF of Fractions for 450/24, 968/20, 405/597 is 1/23880.