Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/21,56/10,410/792
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 15,56,410
Greatest Common Factor of Numerators i.e. GCF of 15,56,410 is 1 .
LCM of Denominators means LCM of 21,10,792 as per the given fractions.
LCM of 21,10,792 is 27720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,56,410
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 15,56,410 . The biggest common factor number is the GCF number.
So the greatest common factor 15,56,410 is 1.
Lets's calculate LCM of 21,10,792
2 | 21, 10, 792 |
3 | 21, 5, 396 |
7, 5, 132 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 132 = 27720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27720
Therefore, the GCF of Fractions 15/21,56/10,410/792 is 1/27720
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 21,10,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,10,792) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(21,10,792) x common factors =1 x 6 = 6
LCM(21,10,792) = ( 21 × 10 × 792 ) / 6
LCM(21,10,792) = 166320 / 6
LCM(21,10,792) = 27720
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 15/21, 56/10, 410/792?
Answer: GCF of Numerators as per given numbers 15/21, 56/10, 410/792 is
GCF of Numerators i.e. for 15,56,410 is 1
LCM of denominators i.e. for 21,10,792 is 27720.
Thus, GCF of Fractions is 1/27720.Finally, GCF of Fractions for 15/21, 56/10, 410/792 is 1/27720.