Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 361/47,327/2290
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 361,327
Greatest Common Factor of Numerators i.e. GCF of 361,327 is 1 .
LCM of Denominators means LCM of 47,2290 as per the given fractions.
LCM of 47,2290 is 107630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 361,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Greatest Common Factor
We found the factors 361,327 . The biggest common factor number is the GCF number.
So the greatest common factor 361,327 is 1.
Lets's calculate LCM of 47,2290
Given numbers has no common factors except 1. So, there LCM is their product i.e 107630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107630
Therefore, the GCF of Fractions 361/47,327/2290 is 1/107630
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 47,2290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,2290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,2290) x common factors =1 x 1 = 1
LCM(47,2290) = ( 47 × 2290 ) / 1
LCM(47,2290) = 107630 / 1
LCM(47,2290) = 107630
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 361/47, 327/2290?
Answer: GCF of Numerators as per given numbers 361/47, 327/2290 is
GCF of Numerators i.e. for 361,327 is 1
LCM of denominators i.e. for 47,2290 is 107630.
Thus, GCF of Fractions is 1/107630.Finally, GCF of Fractions for 361/47, 327/2290 is 1/107630.