Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 839/889,396/797,690/571
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 839,396,690
Greatest Common Factor of Numerators i.e. GCF of 839,396,690 is 1 .
LCM of Denominators means LCM of 889,797,571 as per the given fractions.
LCM of 889,797,571 is 404572343 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 839,396,690
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 839,396,690 . The biggest common factor number is the GCF number.
So the greatest common factor 839,396,690 is 1.
Lets's calculate LCM of 889,797,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 404572343
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404572343
Therefore, the GCF of Fractions 839/889,396/797,690/571 is 1/404572343
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 889,797,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,797,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,797,571) x common factors =1 x 1 = 1
LCM(889,797,571) = ( 889 × 797 × 571 ) / 1
LCM(889,797,571) = 404572343 / 1
LCM(889,797,571) = 404572343
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 839/889, 396/797, 690/571?
Answer: GCF of Numerators as per given numbers 839/889, 396/797, 690/571 is
GCF of Numerators i.e. for 839,396,690 is 1
LCM of denominators i.e. for 889,797,571 is 404572343.
Thus, GCF of Fractions is 1/404572343.Finally, GCF of Fractions for 839/889, 396/797, 690/571 is 1/404572343.