Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/307,5852/8991
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 16,5852
Greatest Common Factor of Numerators i.e. GCF of 16,5852 is 4 .
LCM of Denominators means LCM of 307,8991 as per the given fractions.
LCM of 307,8991 is 2760237 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,5852
2 | 16, 5852 |
2 | 8, 2926 |
4, 1463 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 5852
List of positive integer factors of 5852 that divides 5852 without a remainder.
1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852
Greatest Common Factor
We found the factors 16,5852 . The biggest common factor number is the GCF number.
So the greatest common factor 16,5852 is 4.
Lets's calculate LCM of 307,8991
Given numbers has no common factors except 1. So, there LCM is their product i.e 2760237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2760237
Therefore, the GCF of Fractions 16/307,5852/8991 is 4/2760237
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 307,8991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,8991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,8991) x common factors =1 x 1 = 1
LCM(307,8991) = ( 307 × 8991 ) / 1
LCM(307,8991) = 2760237 / 1
LCM(307,8991) = 2760237
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 16/307, 5852/8991?
Answer: GCF of Numerators as per given numbers 16/307, 5852/8991 is
GCF of Numerators i.e. for 16,5852 is 4
LCM of denominators i.e. for 307,8991 is 2760237.
Thus, GCF of Fractions is 4/2760237.Finally, GCF of Fractions for 16/307, 5852/8991 is 4/2760237.