Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 561/14,9736/417
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 561,9736
Greatest Common Factor of Numerators i.e. GCF of 561,9736 is 1 .
LCM of Denominators means LCM of 14,417 as per the given fractions.
LCM of 14,417 is 5838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 561,9736
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 9736
List of positive integer factors of 9736 that divides 9736 without a remainder.
1,2,4,8,1217,2434,4868,9736
Greatest Common Factor
We found the factors 561,9736 . The biggest common factor number is the GCF number.
So the greatest common factor 561,9736 is 1.
Lets's calculate LCM of 14,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 5838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5838
Therefore, the GCF of Fractions 561/14,9736/417 is 1/5838
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 14,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,417) x common factors =1 x 1 = 1
LCM(14,417) = ( 14 × 417 ) / 1
LCM(14,417) = 5838 / 1
LCM(14,417) = 5838
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 561/14, 9736/417?
Answer: GCF of Numerators as per given numbers 561/14, 9736/417 is
GCF of Numerators i.e. for 561,9736 is 1
LCM of denominators i.e. for 14,417 is 5838.
Thus, GCF of Fractions is 1/5838.Finally, GCF of Fractions for 561/14, 9736/417 is 1/5838.