Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9244/635,9791/6419
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 9244,9791
Greatest Common Factor of Numerators i.e. GCF of 9244,9791 is 1 .
LCM of Denominators means LCM of 635,6419 as per the given fractions.
LCM of 635,6419 is 4076065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9244,9791
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9244
List of positive integer factors of 9244 that divides 9244 without a remainder.
1,2,4,2311,4622,9244
Factors of 9791
List of positive integer factors of 9791 that divides 9791 without a remainder.
1,9791
Greatest Common Factor
We found the factors 9244,9791 . The biggest common factor number is the GCF number.
So the greatest common factor 9244,9791 is 1.
Lets's calculate LCM of 635,6419
Given numbers has no common factors except 1. So, there LCM is their product i.e 4076065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4076065
Therefore, the GCF of Fractions 9244/635,9791/6419 is 1/4076065
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 635,6419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,6419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,6419) x common factors =1 x 1 = 1
LCM(635,6419) = ( 635 × 6419 ) / 1
LCM(635,6419) = 4076065 / 1
LCM(635,6419) = 4076065
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 9244/635, 9791/6419?
Answer: GCF of Numerators as per given numbers 9244/635, 9791/6419 is
GCF of Numerators i.e. for 9244,9791 is 1
LCM of denominators i.e. for 635,6419 is 4076065.
Thus, GCF of Fractions is 1/4076065.Finally, GCF of Fractions for 9244/635, 9791/6419 is 1/4076065.