Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 540/613,9396/3610
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 540,9396
Greatest Common Factor of Numerators i.e. GCF of 540,9396 is 108 .
LCM of Denominators means LCM of 613,3610 as per the given fractions.
LCM of 613,3610 is 2212930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 540,9396
2 | 540, 9396 |
2 | 270, 4698 |
3 | 135, 2349 |
3 | 45, 783 |
3 | 15, 261 |
5, 87 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 9396
List of positive integer factors of 9396 that divides 9396 without a remainder.
1,2,3,4,6,9,12,18,27,29,36,54,58,81,87,108,116,162,174,261,324,348,522,783,1044,1566,2349,3132,4698,9396
Greatest Common Factor
We found the factors 540,9396 . The biggest common factor number is the GCF number.
So the greatest common factor 540,9396 is 108.
Lets's calculate LCM of 613,3610
Given numbers has no common factors except 1. So, there LCM is their product i.e 2212930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 108/2212930
Therefore, the GCF of Fractions 540/613,9396/3610 is 108/2212930
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 613,3610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,3610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,3610) x common factors =1 x 1 = 1
LCM(613,3610) = ( 613 × 3610 ) / 1
LCM(613,3610) = 2212930 / 1
LCM(613,3610) = 2212930
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 540/613, 9396/3610?
Answer: GCF of Numerators as per given numbers 540/613, 9396/3610 is
GCF of Numerators i.e. for 540,9396 is 108
LCM of denominators i.e. for 613,3610 is 2212930.
Thus, GCF of Fractions is 108/2212930.Finally, GCF of Fractions for 540/613, 9396/3610 is 108/2212930.