Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/66,64/48,729/216
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 19,64,729
Greatest Common Factor of Numerators i.e. GCF of 19,64,729 is 1 .
LCM of Denominators means LCM of 66,48,216 as per the given fractions.
LCM of 66,48,216 is 4752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 19,64,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 19,64,729 . The biggest common factor number is the GCF number.
So the greatest common factor 19,64,729 is 1.
Lets's calculate LCM of 66,48,216
2 | 66, 48, 216 |
2 | 33, 24, 108 |
2 | 33, 12, 54 |
3 | 33, 6, 27 |
11, 2, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 2 x 9 = 4752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4752
Therefore, the GCF of Fractions 19/66,64/48,729/216 is 1/4752
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 66,48,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,48,216) = 6
common factors(in case of two or more numbers have common factors) = 24
GCF(66,48,216) x common factors =6 x 24 = 144
LCM(66,48,216) = ( 66 × 48 × 216 ) / 144
LCM(66,48,216) = 684288 / 144
LCM(66,48,216) = 4752
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 19/66, 64/48, 729/216?
Answer: GCF of Numerators as per given numbers 19/66, 64/48, 729/216 is
GCF of Numerators i.e. for 19,64,729 is 1
LCM of denominators i.e. for 66,48,216 is 4752.
Thus, GCF of Fractions is 1/4752.Finally, GCF of Fractions for 19/66, 64/48, 729/216 is 1/4752.