Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8422/855,4555/493
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 8422,4555
Greatest Common Factor of Numerators i.e. GCF of 8422,4555 is 1 .
LCM of Denominators means LCM of 855,493 as per the given fractions.
LCM of 855,493 is 421515 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8422,4555
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8422
List of positive integer factors of 8422 that divides 8422 without a remainder.
1,2,4211,8422
Factors of 4555
List of positive integer factors of 4555 that divides 4555 without a remainder.
1,5,911,4555
Greatest Common Factor
We found the factors 8422,4555 . The biggest common factor number is the GCF number.
So the greatest common factor 8422,4555 is 1.
Lets's calculate LCM of 855,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 421515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421515
Therefore, the GCF of Fractions 8422/855,4555/493 is 1/421515
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 855,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,493) x common factors =1 x 1 = 1
LCM(855,493) = ( 855 × 493 ) / 1
LCM(855,493) = 421515 / 1
LCM(855,493) = 421515
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 8422/855, 4555/493?
Answer: GCF of Numerators as per given numbers 8422/855, 4555/493 is
GCF of Numerators i.e. for 8422,4555 is 1
LCM of denominators i.e. for 855,493 is 421515.
Thus, GCF of Fractions is 1/421515.Finally, GCF of Fractions for 8422/855, 4555/493 is 1/421515.