Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/47,41/50,38/62,81/199
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 64,41,38,81
Greatest Common Factor of Numerators i.e. GCF of 64,41,38,81 is 1 .
LCM of Denominators means LCM of 47,50,62,199 as per the given fractions.
LCM of 47,50,62,199 is 14497150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,41,38,81
∴ So GCF of numbers is 1 because of no common factors present between them.
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 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Greatest Common Factor
We found the factors 64,41,38,81 . The biggest common factor number is the GCF number.
So the greatest common factor 64,41,38,81 is 1.
Lets's calculate LCM of 47,50,62,199
2 | 47, 50, 62, 199 |
47, 25, 31, 199 |
∴ So the LCM of the given numbers is 2 x 47 x 25 x 31 x 199 = 14497150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14497150
Therefore, the GCF of Fractions 64/47,41/50,38/62,81/199 is 1/14497150
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 47,50,62,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,50,62,199) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,50,62,199) x common factors =1 x 2 = 2
LCM(47,50,62,199) = ( 47 × 50 × 62 × 199 ) / 2
LCM(47,50,62,199) = 28994300 / 2
LCM(47,50,62,199) = 14497150
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 64/47, 41/50, 38/62, 81/199?
Answer: GCF of Numerators as per given numbers 64/47, 41/50, 38/62, 81/199 is
GCF of Numerators i.e. for 64,41,38,81 is 1
LCM of denominators i.e. for 47,50,62,199 is 14497150.
Thus, GCF of Fractions is 1/14497150.Finally, GCF of Fractions for 64/47, 41/50, 38/62, 81/199 is 1/14497150.