Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/11,64/10,852/389
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 72,64,852
Greatest Common Factor of Numerators i.e. GCF of 72,64,852 is 4 .
LCM of Denominators means LCM of 11,10,389 as per the given fractions.
LCM of 11,10,389 is 42790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,64,852
2 | 72, 64, 852 |
2 | 36, 32, 426 |
18, 16, 213 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
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 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 72,64,852 . The biggest common factor number is the GCF number.
So the greatest common factor 72,64,852 is 4.
Lets's calculate LCM of 11,10,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 42790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/42790
Therefore, the GCF of Fractions 72/11,64/10,852/389 is 4/42790
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 11,10,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,10,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,10,389) x common factors =1 x 1 = 1
LCM(11,10,389) = ( 11 × 10 × 389 ) / 1
LCM(11,10,389) = 42790 / 1
LCM(11,10,389) = 42790
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 72/11, 64/10, 852/389?
Answer: GCF of Numerators as per given numbers 72/11, 64/10, 852/389 is
GCF of Numerators i.e. for 72,64,852 is 4
LCM of denominators i.e. for 11,10,389 is 42790.
Thus, GCF of Fractions is 4/42790.Finally, GCF of Fractions for 72/11, 64/10, 852/389 is 4/42790.