Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9019/661,4073/2332
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 9019,4073
Greatest Common Factor of Numerators i.e. GCF of 9019,4073 is 1 .
LCM of Denominators means LCM of 661,2332 as per the given fractions.
LCM of 661,2332 is 1541452 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9019,4073
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9019
List of positive integer factors of 9019 that divides 9019 without a remainder.
1,29,311,9019
Factors of 4073
List of positive integer factors of 4073 that divides 4073 without a remainder.
1,4073
Greatest Common Factor
We found the factors 9019,4073 . The biggest common factor number is the GCF number.
So the greatest common factor 9019,4073 is 1.
Lets's calculate LCM of 661,2332
Given numbers has no common factors except 1. So, there LCM is their product i.e 1541452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1541452
Therefore, the GCF of Fractions 9019/661,4073/2332 is 1/1541452
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 661,2332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,2332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,2332) x common factors =1 x 1 = 1
LCM(661,2332) = ( 661 × 2332 ) / 1
LCM(661,2332) = 1541452 / 1
LCM(661,2332) = 1541452
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 9019/661, 4073/2332?
Answer: GCF of Numerators as per given numbers 9019/661, 4073/2332 is
GCF of Numerators i.e. for 9019,4073 is 1
LCM of denominators i.e. for 661,2332 is 1541452.
Thus, GCF of Fractions is 1/1541452.Finally, GCF of Fractions for 9019/661, 4073/2332 is 1/1541452.