Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/559,665/326,371/303
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 118,665,371
Greatest Common Factor of Numerators i.e. GCF of 118,665,371 is 1 .
LCM of Denominators means LCM of 559,326,303 as per the given fractions.
LCM of 559,326,303 is 55216902 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 118,665,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 118,665,371 . The biggest common factor number is the GCF number.
So the greatest common factor 118,665,371 is 1.
Lets's calculate LCM of 559,326,303
Given numbers has no common factors except 1. So, there LCM is their product i.e 55216902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55216902
Therefore, the GCF of Fractions 118/559,665/326,371/303 is 1/55216902
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 559,326,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,326,303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,326,303) x common factors =1 x 1 = 1
LCM(559,326,303) = ( 559 × 326 × 303 ) / 1
LCM(559,326,303) = 55216902 / 1
LCM(559,326,303) = 55216902
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 118/559, 665/326, 371/303?
Answer: GCF of Numerators as per given numbers 118/559, 665/326, 371/303 is
GCF of Numerators i.e. for 118,665,371 is 1
LCM of denominators i.e. for 559,326,303 is 55216902.
Thus, GCF of Fractions is 1/55216902.Finally, GCF of Fractions for 118/559, 665/326, 371/303 is 1/55216902.