Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5868/21,7439/487
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 5868,7439
Greatest Common Factor of Numerators i.e. GCF of 5868,7439 is 1 .
LCM of Denominators means LCM of 21,487 as per the given fractions.
LCM of 21,487 is 10227 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5868,7439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5868
List of positive integer factors of 5868 that divides 5868 without a remainder.
1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868
Factors of 7439
List of positive integer factors of 7439 that divides 7439 without a remainder.
1,43,173,7439
Greatest Common Factor
We found the factors 5868,7439 . The biggest common factor number is the GCF number.
So the greatest common factor 5868,7439 is 1.
Lets's calculate LCM of 21,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 10227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10227
Therefore, the GCF of Fractions 5868/21,7439/487 is 1/10227
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 21,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,487) x common factors =1 x 1 = 1
LCM(21,487) = ( 21 × 487 ) / 1
LCM(21,487) = 10227 / 1
LCM(21,487) = 10227
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 5868/21, 7439/487?
Answer: GCF of Numerators as per given numbers 5868/21, 7439/487 is
GCF of Numerators i.e. for 5868,7439 is 1
LCM of denominators i.e. for 21,487 is 10227.
Thus, GCF of Fractions is 1/10227.Finally, GCF of Fractions for 5868/21, 7439/487 is 1/10227.