Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/39,14/86,820/301
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 83,14,820
Greatest Common Factor of Numerators i.e. GCF of 83,14,820 is 1 .
LCM of Denominators means LCM of 39,86,301 as per the given fractions.
LCM of 39,86,301 is 23478 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,14,820
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 83,14,820 . The biggest common factor number is the GCF number.
So the greatest common factor 83,14,820 is 1.
Lets's calculate LCM of 39,86,301
43 | 39, 86, 301 |
39, 2, 7 |
∴ So the LCM of the given numbers is 43 x 39 x 2 x 7 = 23478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23478
Therefore, the GCF of Fractions 83/39,14/86,820/301 is 1/23478
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 39,86,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,86,301) = 1
common factors(in case of two or more numbers have common factors) = 43
GCF(39,86,301) x common factors =1 x 43 = 43
LCM(39,86,301) = ( 39 × 86 × 301 ) / 43
LCM(39,86,301) = 1009554 / 43
LCM(39,86,301) = 23478
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 83/39, 14/86, 820/301?
Answer: GCF of Numerators as per given numbers 83/39, 14/86, 820/301 is
GCF of Numerators i.e. for 83,14,820 is 1
LCM of denominators i.e. for 39,86,301 is 23478.
Thus, GCF of Fractions is 1/23478.Finally, GCF of Fractions for 83/39, 14/86, 820/301 is 1/23478.