Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/20,34/52,964/327
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 68,34,964
Greatest Common Factor of Numerators i.e. GCF of 68,34,964 is 2 .
LCM of Denominators means LCM of 20,52,327 as per the given fractions.
LCM of 20,52,327 is 85020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,34,964
2 | 68, 34, 964 |
34, 17, 482 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Greatest Common Factor
We found the factors 68,34,964 . The biggest common factor number is the GCF number.
So the greatest common factor 68,34,964 is 2.
Lets's calculate LCM of 20,52,327
2 | 20, 52, 327 |
2 | 10, 26, 327 |
5, 13, 327 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 327 = 85020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85020
Therefore, the GCF of Fractions 68/20,34/52,964/327 is 2/85020
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 20,52,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,52,327) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(20,52,327) x common factors =1 x 4 = 4
LCM(20,52,327) = ( 20 × 52 × 327 ) / 4
LCM(20,52,327) = 340080 / 4
LCM(20,52,327) = 85020
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 68/20, 34/52, 964/327?
Answer: GCF of Numerators as per given numbers 68/20, 34/52, 964/327 is
GCF of Numerators i.e. for 68,34,964 is 2
LCM of denominators i.e. for 20,52,327 is 85020.
Thus, GCF of Fractions is 2/85020.Finally, GCF of Fractions for 68/20, 34/52, 964/327 is 2/85020.