Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 515/96,412/3277
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 515,412
Greatest Common Factor of Numerators i.e. GCF of 515,412 is 103 .
LCM of Denominators means LCM of 96,3277 as per the given fractions.
LCM of 96,3277 is 314592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 515,412
103 | 515, 412 |
5, 4 |
∴ So the GCF of the given numbers is 103 = 103
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 515,412 . The biggest common factor number is the GCF number.
So the greatest common factor 515,412 is 103.
Lets's calculate LCM of 96,3277
Given numbers has no common factors except 1. So, there LCM is their product i.e 314592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/314592
Therefore, the GCF of Fractions 515/96,412/3277 is 103/314592
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 96,3277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,3277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,3277) x common factors =1 x 1 = 1
LCM(96,3277) = ( 96 × 3277 ) / 1
LCM(96,3277) = 314592 / 1
LCM(96,3277) = 314592
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 515/96, 412/3277?
Answer: GCF of Numerators as per given numbers 515/96, 412/3277 is
GCF of Numerators i.e. for 515,412 is 103
LCM of denominators i.e. for 96,3277 is 314592.
Thus, GCF of Fractions is 103/314592.Finally, GCF of Fractions for 515/96, 412/3277 is 103/314592.