Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/83,325/64,728/503
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 52,325,728
Greatest Common Factor of Numerators i.e. GCF of 52,325,728 is 13 .
LCM of Denominators means LCM of 83,64,503 as per the given fractions.
LCM of 83,64,503 is 2671936 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,325,728
13 | 52, 325, 728 |
4, 25, 56 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 52,325,728 . The biggest common factor number is the GCF number.
So the greatest common factor 52,325,728 is 13.
Lets's calculate LCM of 83,64,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 2671936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2671936
Therefore, the GCF of Fractions 52/83,325/64,728/503 is 13/2671936
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 83,64,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,64,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,64,503) x common factors =1 x 1 = 1
LCM(83,64,503) = ( 83 × 64 × 503 ) / 1
LCM(83,64,503) = 2671936 / 1
LCM(83,64,503) = 2671936
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 52/83, 325/64, 728/503?
Answer: GCF of Numerators as per given numbers 52/83, 325/64, 728/503 is
GCF of Numerators i.e. for 52,325,728 is 13
LCM of denominators i.e. for 83,64,503 is 2671936.
Thus, GCF of Fractions is 13/2671936.Finally, GCF of Fractions for 52/83, 325/64, 728/503 is 13/2671936.