Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 501/40,184/55,386/50
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 501,184,386
Greatest Common Factor of Numerators i.e. GCF of 501,184,386 is 1 .
LCM of Denominators means LCM of 40,55,50 as per the given fractions.
LCM of 40,55,50 is 2200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 501,184,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 501,184,386 . The biggest common factor number is the GCF number.
So the greatest common factor 501,184,386 is 1.
Lets's calculate LCM of 40,55,50
2 | 40, 55, 50 |
5 | 20, 55, 25 |
4, 11, 5 |
∴ So the LCM of the given numbers is 2 x 5 x 4 x 11 x 5 = 2200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2200
Therefore, the GCF of Fractions 501/40,184/55,386/50 is 1/2200
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 40,55,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,55,50) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(40,55,50) x common factors =5 x 10 = 50
LCM(40,55,50) = ( 40 × 55 × 50 ) / 50
LCM(40,55,50) = 110000 / 50
LCM(40,55,50) = 2200
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 501/40, 184/55, 386/50?
Answer: GCF of Numerators as per given numbers 501/40, 184/55, 386/50 is
GCF of Numerators i.e. for 501,184,386 is 1
LCM of denominators i.e. for 40,55,50 is 2200.
Thus, GCF of Fractions is 1/2200.Finally, GCF of Fractions for 501/40, 184/55, 386/50 is 1/2200.