Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 417/62,719/80,799/913
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 417,719,799
Greatest Common Factor of Numerators i.e. GCF of 417,719,799 is 1 .
LCM of Denominators means LCM of 62,80,913 as per the given fractions.
LCM of 62,80,913 is 2264240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 417,719,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Greatest Common Factor
We found the factors 417,719,799 . The biggest common factor number is the GCF number.
So the greatest common factor 417,719,799 is 1.
Lets's calculate LCM of 62,80,913
2 | 62, 80, 913 |
31, 40, 913 |
∴ So the LCM of the given numbers is 2 x 31 x 40 x 913 = 2264240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2264240
Therefore, the GCF of Fractions 417/62,719/80,799/913 is 1/2264240
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 62,80,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,80,913) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,80,913) x common factors =1 x 2 = 2
LCM(62,80,913) = ( 62 × 80 × 913 ) / 2
LCM(62,80,913) = 4528480 / 2
LCM(62,80,913) = 2264240
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 417/62, 719/80, 799/913?
Answer: GCF of Numerators as per given numbers 417/62, 719/80, 799/913 is
GCF of Numerators i.e. for 417,719,799 is 1
LCM of denominators i.e. for 62,80,913 is 2264240.
Thus, GCF of Fractions is 1/2264240.Finally, GCF of Fractions for 417/62, 719/80, 799/913 is 1/2264240.