Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 559/58,910/82,498/845
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 559,910,498
Greatest Common Factor of Numerators i.e. GCF of 559,910,498 is 1 .
LCM of Denominators means LCM of 58,82,845 as per the given fractions.
LCM of 58,82,845 is 2009410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 559,910,498
∴ 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 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 559,910,498 . The biggest common factor number is the GCF number.
So the greatest common factor 559,910,498 is 1.
Lets's calculate LCM of 58,82,845
2 | 58, 82, 845 |
29, 41, 845 |
∴ So the LCM of the given numbers is 2 x 29 x 41 x 845 = 2009410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2009410
Therefore, the GCF of Fractions 559/58,910/82,498/845 is 1/2009410
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 58,82,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,82,845) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,82,845) x common factors =1 x 2 = 2
LCM(58,82,845) = ( 58 × 82 × 845 ) / 2
LCM(58,82,845) = 4018820 / 2
LCM(58,82,845) = 2009410
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 559/58, 910/82, 498/845?
Answer: GCF of Numerators as per given numbers 559/58, 910/82, 498/845 is
GCF of Numerators i.e. for 559,910,498 is 1
LCM of denominators i.e. for 58,82,845 is 2009410.
Thus, GCF of Fractions is 1/2009410.Finally, GCF of Fractions for 559/58, 910/82, 498/845 is 1/2009410.