Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/85,621/549
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 594,621
Greatest Common Factor of Numerators i.e. GCF of 594,621 is 27 .
LCM of Denominators means LCM of 85,549 as per the given fractions.
LCM of 85,549 is 46665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,621
3 | 594, 621 |
3 | 198, 207 |
3 | 66, 69 |
22, 23 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
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 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 594,621 . The biggest common factor number is the GCF number.
So the greatest common factor 594,621 is 27.
Lets's calculate LCM of 85,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 46665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/46665
Therefore, the GCF of Fractions 594/85,621/549 is 27/46665
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 85,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,549) x common factors =1 x 1 = 1
LCM(85,549) = ( 85 × 549 ) / 1
LCM(85,549) = 46665 / 1
LCM(85,549) = 46665
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 594/85, 621/549?
Answer: GCF of Numerators as per given numbers 594/85, 621/549 is
GCF of Numerators i.e. for 594,621 is 27
LCM of denominators i.e. for 85,549 is 46665.
Thus, GCF of Fractions is 27/46665.Finally, GCF of Fractions for 594/85, 621/549 is 27/46665.