Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 599/73,592/36,457/599
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 599,592,457
Greatest Common Factor of Numerators i.e. GCF of 599,592,457 is 1 .
LCM of Denominators means LCM of 73,36,599 as per the given fractions.
LCM of 73,36,599 is 1574172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 599,592,457
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Greatest Common Factor
We found the factors 599,592,457 . The biggest common factor number is the GCF number.
So the greatest common factor 599,592,457 is 1.
Lets's calculate LCM of 73,36,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 1574172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1574172
Therefore, the GCF of Fractions 599/73,592/36,457/599 is 1/1574172
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 73,36,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,36,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,36,599) x common factors =1 x 1 = 1
LCM(73,36,599) = ( 73 × 36 × 599 ) / 1
LCM(73,36,599) = 1574172 / 1
LCM(73,36,599) = 1574172
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 599/73, 592/36, 457/599?
Answer: GCF of Numerators as per given numbers 599/73, 592/36, 457/599 is
GCF of Numerators i.e. for 599,592,457 is 1
LCM of denominators i.e. for 73,36,599 is 1574172.
Thus, GCF of Fractions is 1/1574172.Finally, GCF of Fractions for 599/73, 592/36, 457/599 is 1/1574172.