Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 444/397,5365/882
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 444,5365
Greatest Common Factor of Numerators i.e. GCF of 444,5365 is 37 .
LCM of Denominators means LCM of 397,882 as per the given fractions.
LCM of 397,882 is 350154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 444,5365
37 | 444, 5365 |
12, 145 |
∴ So the GCF of the given numbers is 37 = 37
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 5365
List of positive integer factors of 5365 that divides 5365 without a remainder.
1,5,29,37,145,185,1073,5365
Greatest Common Factor
We found the factors 444,5365 . The biggest common factor number is the GCF number.
So the greatest common factor 444,5365 is 37.
Lets's calculate LCM of 397,882
Given numbers has no common factors except 1. So, there LCM is their product i.e 350154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/350154
Therefore, the GCF of Fractions 444/397,5365/882 is 37/350154
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 397,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,882) x common factors =1 x 1 = 1
LCM(397,882) = ( 397 × 882 ) / 1
LCM(397,882) = 350154 / 1
LCM(397,882) = 350154
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 444/397, 5365/882?
Answer: GCF of Numerators as per given numbers 444/397, 5365/882 is
GCF of Numerators i.e. for 444,5365 is 37
LCM of denominators i.e. for 397,882 is 350154.
Thus, GCF of Fractions is 37/350154.Finally, GCF of Fractions for 444/397, 5365/882 is 37/350154.