Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6367/278,2244/4403
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 6367,2244
Greatest Common Factor of Numerators i.e. GCF of 6367,2244 is 1 .
LCM of Denominators means LCM of 278,4403 as per the given fractions.
LCM of 278,4403 is 1224034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6367,2244
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6367
List of positive integer factors of 6367 that divides 6367 without a remainder.
1,6367
Factors of 2244
List of positive integer factors of 2244 that divides 2244 without a remainder.
1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244
Greatest Common Factor
We found the factors 6367,2244 . The biggest common factor number is the GCF number.
So the greatest common factor 6367,2244 is 1.
Lets's calculate LCM of 278,4403
Given numbers has no common factors except 1. So, there LCM is their product i.e 1224034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1224034
Therefore, the GCF of Fractions 6367/278,2244/4403 is 1/1224034
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 278,4403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,4403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,4403) x common factors =1 x 1 = 1
LCM(278,4403) = ( 278 × 4403 ) / 1
LCM(278,4403) = 1224034 / 1
LCM(278,4403) = 1224034
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 6367/278, 2244/4403?
Answer: GCF of Numerators as per given numbers 6367/278, 2244/4403 is
GCF of Numerators i.e. for 6367,2244 is 1
LCM of denominators i.e. for 278,4403 is 1224034.
Thus, GCF of Fractions is 1/1224034.Finally, GCF of Fractions for 6367/278, 2244/4403 is 1/1224034.