Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4569/480,8399/5951
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 4569,8399
Greatest Common Factor of Numerators i.e. GCF of 4569,8399 is 1 .
LCM of Denominators means LCM of 480,5951 as per the given fractions.
LCM of 480,5951 is 2856480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4569,8399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4569
List of positive integer factors of 4569 that divides 4569 without a remainder.
1,3,1523,4569
Factors of 8399
List of positive integer factors of 8399 that divides 8399 without a remainder.
1,37,227,8399
Greatest Common Factor
We found the factors 4569,8399 . The biggest common factor number is the GCF number.
So the greatest common factor 4569,8399 is 1.
Lets's calculate LCM of 480,5951
Given numbers has no common factors except 1. So, there LCM is their product i.e 2856480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2856480
Therefore, the GCF of Fractions 4569/480,8399/5951 is 1/2856480
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 480,5951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,5951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(480,5951) x common factors =1 x 1 = 1
LCM(480,5951) = ( 480 × 5951 ) / 1
LCM(480,5951) = 2856480 / 1
LCM(480,5951) = 2856480
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 4569/480, 8399/5951?
Answer: GCF of Numerators as per given numbers 4569/480, 8399/5951 is
GCF of Numerators i.e. for 4569,8399 is 1
LCM of denominators i.e. for 480,5951 is 2856480.
Thus, GCF of Fractions is 1/2856480.Finally, GCF of Fractions for 4569/480, 8399/5951 is 1/2856480.