Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 820/27,958/39,513/677
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 820,958,513
Greatest Common Factor of Numerators i.e. GCF of 820,958,513 is 1 .
LCM of Denominators means LCM of 27,39,677 as per the given fractions.
LCM of 27,39,677 is 237627 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 820,958,513
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 820,958,513 . The biggest common factor number is the GCF number.
So the greatest common factor 820,958,513 is 1.
Lets's calculate LCM of 27,39,677
3 | 27, 39, 677 |
9, 13, 677 |
∴ So the LCM of the given numbers is 3 x 9 x 13 x 677 = 237627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237627
Therefore, the GCF of Fractions 820/27,958/39,513/677 is 1/237627
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 27,39,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,39,677) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(27,39,677) x common factors =1 x 3 = 3
LCM(27,39,677) = ( 27 × 39 × 677 ) / 3
LCM(27,39,677) = 712881 / 3
LCM(27,39,677) = 237627
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 820/27, 958/39, 513/677?
Answer: GCF of Numerators as per given numbers 820/27, 958/39, 513/677 is
GCF of Numerators i.e. for 820,958,513 is 1
LCM of denominators i.e. for 27,39,677 is 237627.
Thus, GCF of Fractions is 1/237627.Finally, GCF of Fractions for 820/27, 958/39, 513/677 is 1/237627.