Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9046/733,2271/378
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 9046,2271
Greatest Common Factor of Numerators i.e. GCF of 9046,2271 is 1 .
LCM of Denominators means LCM of 733,378 as per the given fractions.
LCM of 733,378 is 277074 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9046,2271
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9046
List of positive integer factors of 9046 that divides 9046 without a remainder.
1,2,4523,9046
Factors of 2271
List of positive integer factors of 2271 that divides 2271 without a remainder.
1,3,757,2271
Greatest Common Factor
We found the factors 9046,2271 . The biggest common factor number is the GCF number.
So the greatest common factor 9046,2271 is 1.
Lets's calculate LCM of 733,378
Given numbers has no common factors except 1. So, there LCM is their product i.e 277074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277074
Therefore, the GCF of Fractions 9046/733,2271/378 is 1/277074
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 733,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,378) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,378) x common factors =1 x 1 = 1
LCM(733,378) = ( 733 × 378 ) / 1
LCM(733,378) = 277074 / 1
LCM(733,378) = 277074
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 9046/733, 2271/378?
Answer: GCF of Numerators as per given numbers 9046/733, 2271/378 is
GCF of Numerators i.e. for 9046,2271 is 1
LCM of denominators i.e. for 733,378 is 277074.
Thus, GCF of Fractions is 1/277074.Finally, GCF of Fractions for 9046/733, 2271/378 is 1/277074.