Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 590/29,745/6606
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 590,745
Greatest Common Factor of Numerators i.e. GCF of 590,745 is 5 .
LCM of Denominators means LCM of 29,6606 as per the given fractions.
LCM of 29,6606 is 191574 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 590,745
5 | 590, 745 |
118, 149 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 590,745 . The biggest common factor number is the GCF number.
So the greatest common factor 590,745 is 5.
Lets's calculate LCM of 29,6606
Given numbers has no common factors except 1. So, there LCM is their product i.e 191574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/191574
Therefore, the GCF of Fractions 590/29,745/6606 is 5/191574
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 29,6606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,6606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,6606) x common factors =1 x 1 = 1
LCM(29,6606) = ( 29 × 6606 ) / 1
LCM(29,6606) = 191574 / 1
LCM(29,6606) = 191574
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 590/29, 745/6606?
Answer: GCF of Numerators as per given numbers 590/29, 745/6606 is
GCF of Numerators i.e. for 590,745 is 5
LCM of denominators i.e. for 29,6606 is 191574.
Thus, GCF of Fractions is 5/191574.Finally, GCF of Fractions for 590/29, 745/6606 is 5/191574.