Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 111/586,559/264,160/297
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 111,559,160
Greatest Common Factor of Numerators i.e. GCF of 111,559,160 is 1 .
LCM of Denominators means LCM of 586,264,297 as per the given fractions.
LCM of 586,264,297 is 696168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 111,559,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 111,559,160 . The biggest common factor number is the GCF number.
So the greatest common factor 111,559,160 is 1.
Lets's calculate LCM of 586,264,297
2 | 586, 264, 297 |
3 | 293, 132, 297 |
11 | 293, 44, 99 |
293, 4, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 293 x 4 x 9 = 696168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/696168
Therefore, the GCF of Fractions 111/586,559/264,160/297 is 1/696168
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 586,264,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,264,297) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(586,264,297) x common factors =1 x 66 = 66
LCM(586,264,297) = ( 586 × 264 × 297 ) / 66
LCM(586,264,297) = 45947088 / 66
LCM(586,264,297) = 696168
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 111/586, 559/264, 160/297?
Answer: GCF of Numerators as per given numbers 111/586, 559/264, 160/297 is
GCF of Numerators i.e. for 111,559,160 is 1
LCM of denominators i.e. for 586,264,297 is 696168.
Thus, GCF of Fractions is 1/696168.Finally, GCF of Fractions for 111/586, 559/264, 160/297 is 1/696168.