Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4034/68,9013/477
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 4034,9013
Greatest Common Factor of Numerators i.e. GCF of 4034,9013 is 1 .
LCM of Denominators means LCM of 68,477 as per the given fractions.
LCM of 68,477 is 32436 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4034,9013
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4034
List of positive integer factors of 4034 that divides 4034 without a remainder.
1,2,2017,4034
Factors of 9013
List of positive integer factors of 9013 that divides 9013 without a remainder.
1,9013
Greatest Common Factor
We found the factors 4034,9013 . The biggest common factor number is the GCF number.
So the greatest common factor 4034,9013 is 1.
Lets's calculate LCM of 68,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 32436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32436
Therefore, the GCF of Fractions 4034/68,9013/477 is 1/32436
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 68,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,477) x common factors =1 x 1 = 1
LCM(68,477) = ( 68 × 477 ) / 1
LCM(68,477) = 32436 / 1
LCM(68,477) = 32436
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 4034/68, 9013/477?
Answer: GCF of Numerators as per given numbers 4034/68, 9013/477 is
GCF of Numerators i.e. for 4034,9013 is 1
LCM of denominators i.e. for 68,477 is 32436.
Thus, GCF of Fractions is 1/32436.Finally, GCF of Fractions for 4034/68, 9013/477 is 1/32436.