Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3784/613,5914/6423
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 3784,5914
Greatest Common Factor of Numerators i.e. GCF of 3784,5914 is 2 .
LCM of Denominators means LCM of 613,6423 as per the given fractions.
LCM of 613,6423 is 3937299 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3784,5914
2 | 3784, 5914 |
1892, 2957 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3784
List of positive integer factors of 3784 that divides 3784 without a remainder.
1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784
Factors of 5914
List of positive integer factors of 5914 that divides 5914 without a remainder.
1,2,2957,5914
Greatest Common Factor
We found the factors 3784,5914 . The biggest common factor number is the GCF number.
So the greatest common factor 3784,5914 is 2.
Lets's calculate LCM of 613,6423
Given numbers has no common factors except 1. So, there LCM is their product i.e 3937299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3937299
Therefore, the GCF of Fractions 3784/613,5914/6423 is 2/3937299
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 613,6423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,6423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,6423) x common factors =1 x 1 = 1
LCM(613,6423) = ( 613 × 6423 ) / 1
LCM(613,6423) = 3937299 / 1
LCM(613,6423) = 3937299
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 3784/613, 5914/6423?
Answer: GCF of Numerators as per given numbers 3784/613, 5914/6423 is
GCF of Numerators i.e. for 3784,5914 is 2
LCM of denominators i.e. for 613,6423 is 3937299.
Thus, GCF of Fractions is 2/3937299.Finally, GCF of Fractions for 3784/613, 5914/6423 is 2/3937299.