Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 257/52,401/17,204/999
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 257,401,204
Greatest Common Factor of Numerators i.e. GCF of 257,401,204 is 1 .
LCM of Denominators means LCM of 52,17,999 as per the given fractions.
LCM of 52,17,999 is 883116 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 257,401,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 257,401,204 . The biggest common factor number is the GCF number.
So the greatest common factor 257,401,204 is 1.
Lets's calculate LCM of 52,17,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 883116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/883116
Therefore, the GCF of Fractions 257/52,401/17,204/999 is 1/883116
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 52,17,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,17,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,17,999) x common factors =1 x 1 = 1
LCM(52,17,999) = ( 52 × 17 × 999 ) / 1
LCM(52,17,999) = 883116 / 1
LCM(52,17,999) = 883116
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 257/52, 401/17, 204/999?
Answer: GCF of Numerators as per given numbers 257/52, 401/17, 204/999 is
GCF of Numerators i.e. for 257,401,204 is 1
LCM of denominators i.e. for 52,17,999 is 883116.
Thus, GCF of Fractions is 1/883116.Finally, GCF of Fractions for 257/52, 401/17, 204/999 is 1/883116.