Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 559/34,582/90,366/765
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 559,582,366
Greatest Common Factor of Numerators i.e. GCF of 559,582,366 is 1 .
LCM of Denominators means LCM of 34,90,765 as per the given fractions.
LCM of 34,90,765 is 1530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 559,582,366
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 559,582,366 . The biggest common factor number is the GCF number.
So the greatest common factor 559,582,366 is 1.
Lets's calculate LCM of 34,90,765
2 | 34, 90, 765 |
3 | 17, 45, 765 |
3 | 17, 15, 255 |
5 | 17, 5, 85 |
17 | 17, 1, 17 |
1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 17 x 1 x 1 x 1 = 1530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1530
Therefore, the GCF of Fractions 559/34,582/90,366/765 is 1/1530
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 34,90,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,90,765) = 1
common factors(in case of two or more numbers have common factors) = 1530
GCF(34,90,765) x common factors =1 x 1530 = 1530
LCM(34,90,765) = ( 34 × 90 × 765 ) / 1530
LCM(34,90,765) = 2340900 / 1530
LCM(34,90,765) = 1530
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 559/34, 582/90, 366/765?
Answer: GCF of Numerators as per given numbers 559/34, 582/90, 366/765 is
GCF of Numerators i.e. for 559,582,366 is 1
LCM of denominators i.e. for 34,90,765 is 1530.
Thus, GCF of Fractions is 1/1530.Finally, GCF of Fractions for 559/34, 582/90, 366/765 is 1/1530.