Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 366/236,3371/9069
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 366,3371
Greatest Common Factor of Numerators i.e. GCF of 366,3371 is 1 .
LCM of Denominators means LCM of 236,9069 as per the given fractions.
LCM of 236,9069 is 2140284 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 366,3371
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 3371
List of positive integer factors of 3371 that divides 3371 without a remainder.
1,3371
Greatest Common Factor
We found the factors 366,3371 . The biggest common factor number is the GCF number.
So the greatest common factor 366,3371 is 1.
Lets's calculate LCM of 236,9069
Given numbers has no common factors except 1. So, there LCM is their product i.e 2140284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2140284
Therefore, the GCF of Fractions 366/236,3371/9069 is 1/2140284
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 236,9069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,9069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,9069) x common factors =1 x 1 = 1
LCM(236,9069) = ( 236 × 9069 ) / 1
LCM(236,9069) = 2140284 / 1
LCM(236,9069) = 2140284
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 366/236, 3371/9069?
Answer: GCF of Numerators as per given numbers 366/236, 3371/9069 is
GCF of Numerators i.e. for 366,3371 is 1
LCM of denominators i.e. for 236,9069 is 2140284.
Thus, GCF of Fractions is 1/2140284.Finally, GCF of Fractions for 366/236, 3371/9069 is 1/2140284.