Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 796/586,158/729,591/712
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 796,158,591
Greatest Common Factor of Numerators i.e. GCF of 796,158,591 is 1 .
LCM of Denominators means LCM of 586,729,712 as per the given fractions.
LCM of 586,729,712 is 152081064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 796,158,591
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Greatest Common Factor
We found the factors 796,158,591 . The biggest common factor number is the GCF number.
So the greatest common factor 796,158,591 is 1.
Lets's calculate LCM of 586,729,712
2 | 586, 729, 712 |
293, 729, 356 |
∴ So the LCM of the given numbers is 2 x 293 x 729 x 356 = 152081064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152081064
Therefore, the GCF of Fractions 796/586,158/729,591/712 is 1/152081064
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 586,729,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,729,712) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(586,729,712) x common factors =1 x 2 = 2
LCM(586,729,712) = ( 586 × 729 × 712 ) / 2
LCM(586,729,712) = 304162128 / 2
LCM(586,729,712) = 152081064
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 796/586, 158/729, 591/712?
Answer: GCF of Numerators as per given numbers 796/586, 158/729, 591/712 is
GCF of Numerators i.e. for 796,158,591 is 1
LCM of denominators i.e. for 586,729,712 is 152081064.
Thus, GCF of Fractions is 1/152081064.Finally, GCF of Fractions for 796/586, 158/729, 591/712 is 1/152081064.