Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 659/581,815/899,938/903
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 659,815,938
Greatest Common Factor of Numerators i.e. GCF of 659,815,938 is 1 .
LCM of Denominators means LCM of 581,899,903 as per the given fractions.
LCM of 581,899,903 is 67379151 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 659,815,938
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 659,815,938 . The biggest common factor number is the GCF number.
So the greatest common factor 659,815,938 is 1.
Lets's calculate LCM of 581,899,903
7 | 581, 899, 903 |
83, 899, 129 |
∴ So the LCM of the given numbers is 7 x 83 x 899 x 129 = 67379151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67379151
Therefore, the GCF of Fractions 659/581,815/899,938/903 is 1/67379151
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 581,899,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,899,903) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(581,899,903) x common factors =1 x 7 = 7
LCM(581,899,903) = ( 581 × 899 × 903 ) / 7
LCM(581,899,903) = 471654057 / 7
LCM(581,899,903) = 67379151
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 659/581, 815/899, 938/903?
Answer: GCF of Numerators as per given numbers 659/581, 815/899, 938/903 is
GCF of Numerators i.e. for 659,815,938 is 1
LCM of denominators i.e. for 581,899,903 is 67379151.
Thus, GCF of Fractions is 1/67379151.Finally, GCF of Fractions for 659/581, 815/899, 938/903 is 1/67379151.