Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1681/521,8014/4587
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 1681,8014
Greatest Common Factor of Numerators i.e. GCF of 1681,8014 is 1 .
LCM of Denominators means LCM of 521,4587 as per the given fractions.
LCM of 521,4587 is 2389827 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1681,8014
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1681
List of positive integer factors of 1681 that divides 1681 without a remainder.
1,41,1681
Factors of 8014
List of positive integer factors of 8014 that divides 8014 without a remainder.
1,2,4007,8014
Greatest Common Factor
We found the factors 1681,8014 . The biggest common factor number is the GCF number.
So the greatest common factor 1681,8014 is 1.
Lets's calculate LCM of 521,4587
Given numbers has no common factors except 1. So, there LCM is their product i.e 2389827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2389827
Therefore, the GCF of Fractions 1681/521,8014/4587 is 1/2389827
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 521,4587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,4587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,4587) x common factors =1 x 1 = 1
LCM(521,4587) = ( 521 × 4587 ) / 1
LCM(521,4587) = 2389827 / 1
LCM(521,4587) = 2389827
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 1681/521, 8014/4587?
Answer: GCF of Numerators as per given numbers 1681/521, 8014/4587 is
GCF of Numerators i.e. for 1681,8014 is 1
LCM of denominators i.e. for 521,4587 is 2389827.
Thus, GCF of Fractions is 1/2389827.Finally, GCF of Fractions for 1681/521, 8014/4587 is 1/2389827.