Online GCD Calculator is useful to find the GCD of 537, 936, 349, 288 quickly. Get the easiest ways to solve the greatest common divisor of 537, 936, 349, 288 i.e 1 in different methods as follows.
Given Input numbers are 537, 936, 349, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (537, 936, 349, 288) = 1.
Given numbers are 537, 936, 349, 288
The list of prime factors of all numbers are
Prime factors of 537 are 3 x 179
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 349 are 349
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 537, 936, 349, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(537, 936) = 167544
GCD(537, 936) = ( 537 x 936 ) / 167544
= 537 / 936
= 537
Step2:
LCM(3, 349) = 1047
GCD(3, 349) = ( 3 x 349 ) / 1047
= 3 / 349
= 3
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 537, 936, 349, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 537, 936, 349, 288
The greatest common divisor of numbers 537, 936, 349, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 936, 349, 288 is 1.
1. What is the GCD of 537, 936, 349, 288?
GCD of given numbers 537, 936, 349, 288 is 1
2. How to calculate the greatest common divisor of 537, 936, 349, 288?
We can find the highest common divisor of 537, 936, 349, 288 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 537, 936, 349, 288 i.e 1.
3. How can I use the GCD of 537, 936, 349, 288Calculator?
Out the numbers 537, 936, 349, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.