Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 416/39,539/36,783/720
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 416,539,783
Greatest Common Factor of Numerators i.e. GCF of 416,539,783 is 1 .
LCM of Denominators means LCM of 39,36,720 as per the given fractions.
LCM of 39,36,720 is 9360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 416,539,783
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 416,539,783 . The biggest common factor number is the GCF number.
So the greatest common factor 416,539,783 is 1.
Lets's calculate LCM of 39,36,720
2 | 39, 36, 720 |
2 | 39, 18, 360 |
3 | 39, 9, 180 |
3 | 13, 3, 60 |
13, 1, 20 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 1 x 20 = 9360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9360
Therefore, the GCF of Fractions 416/39,539/36,783/720 is 1/9360
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 39,36,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,36,720) = 3
common factors(in case of two or more numbers have common factors) = 36
GCF(39,36,720) x common factors =3 x 36 = 108
LCM(39,36,720) = ( 39 × 36 × 720 ) / 108
LCM(39,36,720) = 1010880 / 108
LCM(39,36,720) = 9360
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 416/39, 539/36, 783/720?
Answer: GCF of Numerators as per given numbers 416/39, 539/36, 783/720 is
GCF of Numerators i.e. for 416,539,783 is 1
LCM of denominators i.e. for 39,36,720 is 9360.
Thus, GCF of Fractions is 1/9360.Finally, GCF of Fractions for 416/39, 539/36, 783/720 is 1/9360.