Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 239/420,5859/396
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 239,5859
Greatest Common Factor of Numerators i.e. GCF of 239,5859 is 1 .
LCM of Denominators means LCM of 420,396 as per the given fractions.
LCM of 420,396 is 13860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 239,5859
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 5859
List of positive integer factors of 5859 that divides 5859 without a remainder.
1,3,7,9,21,27,31,63,93,189,217,279,651,837,1953,5859
Greatest Common Factor
We found the factors 239,5859 . The biggest common factor number is the GCF number.
So the greatest common factor 239,5859 is 1.
Lets's calculate LCM of 420,396
2 | 420, 396 |
2 | 210, 198 |
3 | 105, 99 |
35, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 35 x 33 = 13860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13860
Therefore, the GCF of Fractions 239/420,5859/396 is 1/13860
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 420,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,396) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(420,396) x common factors =12 x 1 = 12
LCM(420,396) = ( 420 × 396 ) / 12
LCM(420,396) = 166320 / 12
LCM(420,396) = 13860
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 239/420, 5859/396?
Answer: GCF of Numerators as per given numbers 239/420, 5859/396 is
GCF of Numerators i.e. for 239,5859 is 1
LCM of denominators i.e. for 420,396 is 13860.
Thus, GCF of Fractions is 1/13860.Finally, GCF of Fractions for 239/420, 5859/396 is 1/13860.