Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/639,5025/729
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 594,5025
Greatest Common Factor of Numerators i.e. GCF of 594,5025 is 3 .
LCM of Denominators means LCM of 639,729 as per the given fractions.
LCM of 639,729 is 51759 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,5025
3 | 594, 5025 |
198, 1675 |
∴ So the GCF of the given numbers is 3 = 3
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 5025
List of positive integer factors of 5025 that divides 5025 without a remainder.
1,3,5,15,25,67,75,201,335,1005,1675,5025
Greatest Common Factor
We found the factors 594,5025 . The biggest common factor number is the GCF number.
So the greatest common factor 594,5025 is 3.
Lets's calculate LCM of 639,729
3 | 639, 729 |
3 | 213, 243 |
71, 81 |
∴ So the LCM of the given numbers is 3 x 3 x 71 x 81 = 51759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/51759
Therefore, the GCF of Fractions 594/639,5025/729 is 3/51759
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 639,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,729) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(639,729) x common factors =9 x 1 = 9
LCM(639,729) = ( 639 × 729 ) / 9
LCM(639,729) = 465831 / 9
LCM(639,729) = 51759
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 594/639, 5025/729?
Answer: GCF of Numerators as per given numbers 594/639, 5025/729 is
GCF of Numerators i.e. for 594,5025 is 3
LCM of denominators i.e. for 639,729 is 51759.
Thus, GCF of Fractions is 3/51759.Finally, GCF of Fractions for 594/639, 5025/729 is 3/51759.