Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 481/13,362/45,465/181
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 481,362,465
Greatest Common Factor of Numerators i.e. GCF of 481,362,465 is 1 .
LCM of Denominators means LCM of 13,45,181 as per the given fractions.
LCM of 13,45,181 is 105885 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 481,362,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 481,362,465 . The biggest common factor number is the GCF number.
So the greatest common factor 481,362,465 is 1.
Lets's calculate LCM of 13,45,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 105885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105885
Therefore, the GCF of Fractions 481/13,362/45,465/181 is 1/105885
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 13,45,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,45,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,45,181) x common factors =1 x 1 = 1
LCM(13,45,181) = ( 13 × 45 × 181 ) / 1
LCM(13,45,181) = 105885 / 1
LCM(13,45,181) = 105885
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 481/13, 362/45, 465/181?
Answer: GCF of Numerators as per given numbers 481/13, 362/45, 465/181 is
GCF of Numerators i.e. for 481,362,465 is 1
LCM of denominators i.e. for 13,45,181 is 105885.
Thus, GCF of Fractions is 1/105885.Finally, GCF of Fractions for 481/13, 362/45, 465/181 is 1/105885.