Online GCD Calculator is useful to find the GCD of 540, 513, 150, 969 quickly. Get the easiest ways to solve the greatest common divisor of 540, 513, 150, 969 i.e 3 in different methods as follows.
Given Input numbers are 540, 513, 150, 969
In the factoring method, we have to find the divisors of all numbers
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
GCD of numbers is the greatest common divisor
So, the GCD (540, 513, 150, 969) = 3.
Given numbers are 540, 513, 150, 969
The list of prime factors of all numbers are
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 969 are 3 x 17 x 19
The highest common occurrence is 31
Therefore, GCD of 540, 513, 150, 969 is 3.
Given numbers are 540, 513, 150, 969
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 513) = 10260
GCD(540, 513) = ( 540 x 513 ) / 10260
= 540 / 513
= 540
Step2:
LCM(27, 150) = 1350
GCD(27, 150) = ( 27 x 150 ) / 1350
= 27 / 150
= 27
Step3:
LCM(3, 969) = 969
GCD(3, 969) = ( 3 x 969 ) / 969
= 3 / 969
= 3
So, Greatest Common Divisor of 540, 513, 150, 969 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 513, 150, 969
The greatest common divisor of numbers 540, 513, 150, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 513, 150, 969 is 3.
1. What is the GCD of 540, 513, 150, 969?
GCD of given numbers 540, 513, 150, 969 is 3
2. How to calculate the greatest common divisor of 540, 513, 150, 969?
We can find the highest common divisor of 540, 513, 150, 969 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 540, 513, 150, 969 i.e 3.
3. How can I use the GCD of 540, 513, 150, 969Calculator?
Out the numbers 540, 513, 150, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.