Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/86,768/5919
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 396,768
Greatest Common Factor of Numerators i.e. GCF of 396,768 is 12 .
LCM of Denominators means LCM of 86,5919 as per the given fractions.
LCM of 86,5919 is 509034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 396,768
2 | 396, 768 |
2 | 198, 384 |
3 | 99, 192 |
33, 64 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 396,768 . The biggest common factor number is the GCF number.
So the greatest common factor 396,768 is 12.
Lets's calculate LCM of 86,5919
Given numbers has no common factors except 1. So, there LCM is their product i.e 509034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/509034
Therefore, the GCF of Fractions 396/86,768/5919 is 12/509034
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 86,5919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,5919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,5919) x common factors =1 x 1 = 1
LCM(86,5919) = ( 86 × 5919 ) / 1
LCM(86,5919) = 509034 / 1
LCM(86,5919) = 509034
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 396/86, 768/5919?
Answer: GCF of Numerators as per given numbers 396/86, 768/5919 is
GCF of Numerators i.e. for 396,768 is 12
LCM of denominators i.e. for 86,5919 is 509034.
Thus, GCF of Fractions is 12/509034.Finally, GCF of Fractions for 396/86, 768/5919 is 12/509034.