Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 201/56,8671/894
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 201,8671
Greatest Common Factor of Numerators i.e. GCF of 201,8671 is 1 .
LCM of Denominators means LCM of 56,894 as per the given fractions.
LCM of 56,894 is 25032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 201,8671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 8671
List of positive integer factors of 8671 that divides 8671 without a remainder.
1,13,23,29,299,377,667,8671
Greatest Common Factor
We found the factors 201,8671 . The biggest common factor number is the GCF number.
So the greatest common factor 201,8671 is 1.
Lets's calculate LCM of 56,894
2 | 56, 894 |
28, 447 |
∴ So the LCM of the given numbers is 2 x 28 x 447 = 25032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25032
Therefore, the GCF of Fractions 201/56,8671/894 is 1/25032
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 56,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(56,894) x common factors =2 x 1 = 2
LCM(56,894) = ( 56 × 894 ) / 2
LCM(56,894) = 50064 / 2
LCM(56,894) = 25032
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 201/56, 8671/894?
Answer: GCF of Numerators as per given numbers 201/56, 8671/894 is
GCF of Numerators i.e. for 201,8671 is 1
LCM of denominators i.e. for 56,894 is 25032.
Thus, GCF of Fractions is 1/25032.Finally, GCF of Fractions for 201/56, 8671/894 is 1/25032.