GCD of 512, 690, 36, 109 Calculator

Given Input numbers are 512, 690, 36, 109

In the factoring method, we have to find the divisors of all numbers

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (512, 690, 36, 109) = 1.

Given numbers are 512, 690, 36, 109

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 109 are 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 512, 690, 36, 109

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(512, 690) = 176640

GCD(512, 690) = ( 512 x 690 ) / 176640

= 512 / 690

= 512

Step2:

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

= 2 / 36

= 2

Step3:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

So, Greatest Common Divisor of 512, 690, 36, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 716, 13, 512
• GCD of 748, 501, 80, 759
• GCD of 502, 365, 53, 565
• GCD of 582, 773, 44, 446
• GCD of 446, 709, 98, 168

Given numbers are 512, 690, 36, 109
The greatest common divisor of numbers 512, 690, 36, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 690, 36, 109 is 1.

1. What is the GCD of 512, 690, 36, 109?

GCD of given numbers 512, 690, 36, 109 is 1

2. How to calculate the greatest common divisor of 512, 690, 36, 109?

We can find the highest common divisor of 512, 690, 36, 109 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 512, 690, 36, 109 i.e 1.

3. How can I use the GCD of 512, 690, 36, 109Calculator?

Out the numbers 512, 690, 36, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.