Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 229/510,916/233,600/557
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 229,916,600
Greatest Common Factor of Numerators i.e. GCF of 229,916,600 is 1 .
LCM of Denominators means LCM of 510,233,557 as per the given fractions.
LCM of 510,233,557 is 66188310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 229,916,600
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 229,916,600 . The biggest common factor number is the GCF number.
So the greatest common factor 229,916,600 is 1.
Lets's calculate LCM of 510,233,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 66188310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66188310
Therefore, the GCF of Fractions 229/510,916/233,600/557 is 1/66188310
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 510,233,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,233,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(510,233,557) x common factors =1 x 1 = 1
LCM(510,233,557) = ( 510 × 233 × 557 ) / 1
LCM(510,233,557) = 66188310 / 1
LCM(510,233,557) = 66188310
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 229/510, 916/233, 600/557?
Answer: GCF of Numerators as per given numbers 229/510, 916/233, 600/557 is
GCF of Numerators i.e. for 229,916,600 is 1
LCM of denominators i.e. for 510,233,557 is 66188310.
Thus, GCF of Fractions is 1/66188310.Finally, GCF of Fractions for 229/510, 916/233, 600/557 is 1/66188310.