Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/16,53/181,513/666
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 63,53,513
Greatest Common Factor of Numerators i.e. GCF of 63,53,513 is 1 .
LCM of Denominators means LCM of 16,181,666 as per the given fractions.
LCM of 16,181,666 is 964368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,53,513
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 63,53,513 . The biggest common factor number is the GCF number.
So the greatest common factor 63,53,513 is 1.
Lets's calculate LCM of 16,181,666
2 | 16, 181, 666 |
8, 181, 333 |
∴ So the LCM of the given numbers is 2 x 8 x 181 x 333 = 964368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/964368
Therefore, the GCF of Fractions 63/16,53/181,513/666 is 1/964368
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 16,181,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,181,666) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,181,666) x common factors =1 x 2 = 2
LCM(16,181,666) = ( 16 × 181 × 666 ) / 2
LCM(16,181,666) = 1928736 / 2
LCM(16,181,666) = 964368
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 63/16, 53/181, 513/666?
Answer: GCF of Numerators as per given numbers 63/16, 53/181, 513/666 is
GCF of Numerators i.e. for 63,53,513 is 1
LCM of denominators i.e. for 16,181,666 is 964368.
Thus, GCF of Fractions is 1/964368.Finally, GCF of Fractions for 63/16, 53/181, 513/666 is 1/964368.