Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 405/67,805/83,580/487
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 405,805,580
Greatest Common Factor of Numerators i.e. GCF of 405,805,580 is 5 .
LCM of Denominators means LCM of 67,83,487 as per the given fractions.
LCM of 67,83,487 is 2708207 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 405,805,580
5 | 405, 805, 580 |
81, 161, 116 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 405,805,580 . The biggest common factor number is the GCF number.
So the greatest common factor 405,805,580 is 5.
Lets's calculate LCM of 67,83,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 2708207
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2708207
Therefore, the GCF of Fractions 405/67,805/83,580/487 is 5/2708207
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 67,83,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,83,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,83,487) x common factors =1 x 1 = 1
LCM(67,83,487) = ( 67 × 83 × 487 ) / 1
LCM(67,83,487) = 2708207 / 1
LCM(67,83,487) = 2708207
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 405/67, 805/83, 580/487?
Answer: GCF of Numerators as per given numbers 405/67, 805/83, 580/487 is
GCF of Numerators i.e. for 405,805,580 is 5
LCM of denominators i.e. for 67,83,487 is 2708207.
Thus, GCF of Fractions is 5/2708207.Finally, GCF of Fractions for 405/67, 805/83, 580/487 is 5/2708207.