Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/397,684/496,659/259
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 59,684,659
Greatest Common Factor of Numerators i.e. GCF of 59,684,659 is 1 .
LCM of Denominators means LCM of 397,496,259 as per the given fractions.
LCM of 397,496,259 is 51000208 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,684,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Greatest Common Factor
We found the factors 59,684,659 . The biggest common factor number is the GCF number.
So the greatest common factor 59,684,659 is 1.
Lets's calculate LCM of 397,496,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 51000208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51000208
Therefore, the GCF of Fractions 59/397,684/496,659/259 is 1/51000208
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 397,496,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,496,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,496,259) x common factors =1 x 1 = 1
LCM(397,496,259) = ( 397 × 496 × 259 ) / 1
LCM(397,496,259) = 51000208 / 1
LCM(397,496,259) = 51000208
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 59/397, 684/496, 659/259?
Answer: GCF of Numerators as per given numbers 59/397, 684/496, 659/259 is
GCF of Numerators i.e. for 59,684,659 is 1
LCM of denominators i.e. for 397,496,259 is 51000208.
Thus, GCF of Fractions is 1/51000208.Finally, GCF of Fractions for 59/397, 684/496, 659/259 is 1/51000208.