Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9609/580,2371/7397
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 9609,2371
Greatest Common Factor of Numerators i.e. GCF of 9609,2371 is 1 .
LCM of Denominators means LCM of 580,7397 as per the given fractions.
LCM of 580,7397 is 4290260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9609,2371
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9609
List of positive integer factors of 9609 that divides 9609 without a remainder.
1,3,3203,9609
Factors of 2371
List of positive integer factors of 2371 that divides 2371 without a remainder.
1,2371
Greatest Common Factor
We found the factors 9609,2371 . The biggest common factor number is the GCF number.
So the greatest common factor 9609,2371 is 1.
Lets's calculate LCM of 580,7397
Given numbers has no common factors except 1. So, there LCM is their product i.e 4290260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4290260
Therefore, the GCF of Fractions 9609/580,2371/7397 is 1/4290260
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 580,7397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,7397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(580,7397) x common factors =1 x 1 = 1
LCM(580,7397) = ( 580 × 7397 ) / 1
LCM(580,7397) = 4290260 / 1
LCM(580,7397) = 4290260
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 9609/580, 2371/7397?
Answer: GCF of Numerators as per given numbers 9609/580, 2371/7397 is
GCF of Numerators i.e. for 9609,2371 is 1
LCM of denominators i.e. for 580,7397 is 4290260.
Thus, GCF of Fractions is 1/4290260.Finally, GCF of Fractions for 9609/580, 2371/7397 is 1/4290260.