Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 444/15,221/8107
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 444,221
Greatest Common Factor of Numerators i.e. GCF of 444,221 is 1 .
LCM of Denominators means LCM of 15,8107 as per the given fractions.
LCM of 15,8107 is 121605 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 444,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 444,221 . The biggest common factor number is the GCF number.
So the greatest common factor 444,221 is 1.
Lets's calculate LCM of 15,8107
Given numbers has no common factors except 1. So, there LCM is their product i.e 121605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121605
Therefore, the GCF of Fractions 444/15,221/8107 is 1/121605
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 15,8107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,8107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,8107) x common factors =1 x 1 = 1
LCM(15,8107) = ( 15 × 8107 ) / 1
LCM(15,8107) = 121605 / 1
LCM(15,8107) = 121605
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 444/15, 221/8107?
Answer: GCF of Numerators as per given numbers 444/15, 221/8107 is
GCF of Numerators i.e. for 444,221 is 1
LCM of denominators i.e. for 15,8107 is 121605.
Thus, GCF of Fractions is 1/121605.Finally, GCF of Fractions for 444/15, 221/8107 is 1/121605.