Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3227/162,3645/3333
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 3227,3645
Greatest Common Factor of Numerators i.e. GCF of 3227,3645 is 1 .
LCM of Denominators means LCM of 162,3333 as per the given fractions.
LCM of 162,3333 is 179982 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3227,3645
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3227
List of positive integer factors of 3227 that divides 3227 without a remainder.
1,7,461,3227
Factors of 3645
List of positive integer factors of 3645 that divides 3645 without a remainder.
1,3,5,9,15,27,45,81,135,243,405,729,1215,3645
Greatest Common Factor
We found the factors 3227,3645 . The biggest common factor number is the GCF number.
So the greatest common factor 3227,3645 is 1.
Lets's calculate LCM of 162,3333
3 | 162, 3333 |
54, 1111 |
∴ So the LCM of the given numbers is 3 x 54 x 1111 = 179982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179982
Therefore, the GCF of Fractions 3227/162,3645/3333 is 1/179982
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 162,3333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,3333) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(162,3333) x common factors =3 x 1 = 3
LCM(162,3333) = ( 162 × 3333 ) / 3
LCM(162,3333) = 539946 / 3
LCM(162,3333) = 179982
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 3227/162, 3645/3333?
Answer: GCF of Numerators as per given numbers 3227/162, 3645/3333 is
GCF of Numerators i.e. for 3227,3645 is 1
LCM of denominators i.e. for 162,3333 is 179982.
Thus, GCF of Fractions is 1/179982.Finally, GCF of Fractions for 3227/162, 3645/3333 is 1/179982.