Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/823,6316/487
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 594,6316
Greatest Common Factor of Numerators i.e. GCF of 594,6316 is 2 .
LCM of Denominators means LCM of 823,487 as per the given fractions.
LCM of 823,487 is 400801 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,6316
2 | 594, 6316 |
297, 3158 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 6316
List of positive integer factors of 6316 that divides 6316 without a remainder.
1,2,4,1579,3158,6316
Greatest Common Factor
We found the factors 594,6316 . The biggest common factor number is the GCF number.
So the greatest common factor 594,6316 is 2.
Lets's calculate LCM of 823,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 400801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/400801
Therefore, the GCF of Fractions 594/823,6316/487 is 2/400801
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 823,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,487) x common factors =1 x 1 = 1
LCM(823,487) = ( 823 × 487 ) / 1
LCM(823,487) = 400801 / 1
LCM(823,487) = 400801
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 594/823, 6316/487?
Answer: GCF of Numerators as per given numbers 594/823, 6316/487 is
GCF of Numerators i.e. for 594,6316 is 2
LCM of denominators i.e. for 823,487 is 400801.
Thus, GCF of Fractions is 2/400801.Finally, GCF of Fractions for 594/823, 6316/487 is 2/400801.