Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9852/412,3923/9221
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 9852,3923
Greatest Common Factor of Numerators i.e. GCF of 9852,3923 is 1 .
LCM of Denominators means LCM of 412,9221 as per the given fractions.
LCM of 412,9221 is 3799052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9852,3923
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9852
List of positive integer factors of 9852 that divides 9852 without a remainder.
1,2,3,4,6,12,821,1642,2463,3284,4926,9852
Factors of 3923
List of positive integer factors of 3923 that divides 3923 without a remainder.
1,3923
Greatest Common Factor
We found the factors 9852,3923 . The biggest common factor number is the GCF number.
So the greatest common factor 9852,3923 is 1.
Lets's calculate LCM of 412,9221
Given numbers has no common factors except 1. So, there LCM is their product i.e 3799052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3799052
Therefore, the GCF of Fractions 9852/412,3923/9221 is 1/3799052
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 412,9221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,9221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,9221) x common factors =1 x 1 = 1
LCM(412,9221) = ( 412 × 9221 ) / 1
LCM(412,9221) = 3799052 / 1
LCM(412,9221) = 3799052
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 9852/412, 3923/9221?
Answer: GCF of Numerators as per given numbers 9852/412, 3923/9221 is
GCF of Numerators i.e. for 9852,3923 is 1
LCM of denominators i.e. for 412,9221 is 3799052.
Thus, GCF of Fractions is 1/3799052.Finally, GCF of Fractions for 9852/412, 3923/9221 is 1/3799052.