Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5965/34,6481/573
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 5965,6481
Greatest Common Factor of Numerators i.e. GCF of 5965,6481 is 1 .
LCM of Denominators means LCM of 34,573 as per the given fractions.
LCM of 34,573 is 19482 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5965,6481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5965
List of positive integer factors of 5965 that divides 5965 without a remainder.
1,5,1193,5965
Factors of 6481
List of positive integer factors of 6481 that divides 6481 without a remainder.
1,6481
Greatest Common Factor
We found the factors 5965,6481 . The biggest common factor number is the GCF number.
So the greatest common factor 5965,6481 is 1.
Lets's calculate LCM of 34,573
Given numbers has no common factors except 1. So, there LCM is their product i.e 19482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19482
Therefore, the GCF of Fractions 5965/34,6481/573 is 1/19482
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 34,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,573) x common factors =1 x 1 = 1
LCM(34,573) = ( 34 × 573 ) / 1
LCM(34,573) = 19482 / 1
LCM(34,573) = 19482
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 5965/34, 6481/573?
Answer: GCF of Numerators as per given numbers 5965/34, 6481/573 is
GCF of Numerators i.e. for 5965,6481 is 1
LCM of denominators i.e. for 34,573 is 19482.
Thus, GCF of Fractions is 1/19482.Finally, GCF of Fractions for 5965/34, 6481/573 is 1/19482.