Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 765/78,481/29,460/878
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 765,481,460
Greatest Common Factor of Numerators i.e. GCF of 765,481,460 is 1 .
LCM of Denominators means LCM of 78,29,878 as per the given fractions.
LCM of 78,29,878 is 993018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 765,481,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 765,481,460 . The biggest common factor number is the GCF number.
So the greatest common factor 765,481,460 is 1.
Lets's calculate LCM of 78,29,878
2 | 78, 29, 878 |
39, 29, 439 |
∴ So the LCM of the given numbers is 2 x 39 x 29 x 439 = 993018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/993018
Therefore, the GCF of Fractions 765/78,481/29,460/878 is 1/993018
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 78,29,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,29,878) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(78,29,878) x common factors =1 x 2 = 2
LCM(78,29,878) = ( 78 × 29 × 878 ) / 2
LCM(78,29,878) = 1986036 / 2
LCM(78,29,878) = 993018
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 765/78, 481/29, 460/878?
Answer: GCF of Numerators as per given numbers 765/78, 481/29, 460/878 is
GCF of Numerators i.e. for 765,481,460 is 1
LCM of denominators i.e. for 78,29,878 is 993018.
Thus, GCF of Fractions is 1/993018.Finally, GCF of Fractions for 765/78, 481/29, 460/878 is 1/993018.