Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 387/149,497/284,474/193
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 387,497,474
Greatest Common Factor of Numerators i.e. GCF of 387,497,474 is 1 .
LCM of Denominators means LCM of 149,284,193 as per the given fractions.
LCM of 149,284,193 is 8166988 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 387,497,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 387,497,474 . The biggest common factor number is the GCF number.
So the greatest common factor 387,497,474 is 1.
Lets's calculate LCM of 149,284,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 8166988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8166988
Therefore, the GCF of Fractions 387/149,497/284,474/193 is 1/8166988
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 149,284,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,284,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,284,193) x common factors =1 x 1 = 1
LCM(149,284,193) = ( 149 × 284 × 193 ) / 1
LCM(149,284,193) = 8166988 / 1
LCM(149,284,193) = 8166988
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 387/149, 497/284, 474/193?
Answer: GCF of Numerators as per given numbers 387/149, 497/284, 474/193 is
GCF of Numerators i.e. for 387,497,474 is 1
LCM of denominators i.e. for 149,284,193 is 8166988.
Thus, GCF of Fractions is 1/8166988.Finally, GCF of Fractions for 387/149, 497/284, 474/193 is 1/8166988.