Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 450/407,9916/5755
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 450,9916
Greatest Common Factor of Numerators i.e. GCF of 450,9916 is 2 .
LCM of Denominators means LCM of 407,5755 as per the given fractions.
LCM of 407,5755 is 2342285 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 450,9916
2 | 450, 9916 |
225, 4958 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 9916
List of positive integer factors of 9916 that divides 9916 without a remainder.
1,2,4,37,67,74,134,148,268,2479,4958,9916
Greatest Common Factor
We found the factors 450,9916 . The biggest common factor number is the GCF number.
So the greatest common factor 450,9916 is 2.
Lets's calculate LCM of 407,5755
Given numbers has no common factors except 1. So, there LCM is their product i.e 2342285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2342285
Therefore, the GCF of Fractions 450/407,9916/5755 is 2/2342285
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 407,5755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,5755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,5755) x common factors =1 x 1 = 1
LCM(407,5755) = ( 407 × 5755 ) / 1
LCM(407,5755) = 2342285 / 1
LCM(407,5755) = 2342285
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 450/407, 9916/5755?
Answer: GCF of Numerators as per given numbers 450/407, 9916/5755 is
GCF of Numerators i.e. for 450,9916 is 2
LCM of denominators i.e. for 407,5755 is 2342285.
Thus, GCF of Fractions is 2/2342285.Finally, GCF of Fractions for 450/407, 9916/5755 is 2/2342285.