Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 418/89,159/41,303/75
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 418,159,303
Greatest Common Factor of Numerators i.e. GCF of 418,159,303 is 1 .
LCM of Denominators means LCM of 89,41,75 as per the given fractions.
LCM of 89,41,75 is 273675 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 418,159,303
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Greatest Common Factor
We found the factors 418,159,303 . The biggest common factor number is the GCF number.
So the greatest common factor 418,159,303 is 1.
Lets's calculate LCM of 89,41,75
Given numbers has no common factors except 1. So, there LCM is their product i.e 273675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273675
Therefore, the GCF of Fractions 418/89,159/41,303/75 is 1/273675
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 89,41,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,41,75) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,41,75) x common factors =1 x 1 = 1
LCM(89,41,75) = ( 89 × 41 × 75 ) / 1
LCM(89,41,75) = 273675 / 1
LCM(89,41,75) = 273675
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 418/89, 159/41, 303/75?
Answer: GCF of Numerators as per given numbers 418/89, 159/41, 303/75 is
GCF of Numerators i.e. for 418,159,303 is 1
LCM of denominators i.e. for 89,41,75 is 273675.
Thus, GCF of Fractions is 1/273675.Finally, GCF of Fractions for 418/89, 159/41, 303/75 is 1/273675.