GCD of 864, 522, 689, 149 Calculator

Given Input numbers are 864, 522, 689, 149

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (864, 522, 689, 149) = 1.

Given numbers are 864, 522, 689, 149

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 689 are 13 x 53

Prime factors of 149 are 149

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

Given numbers are 864, 522, 689, 149

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

Apply this formula for all numbers.

Step1:

LCM(864, 522) = 25056

GCD(864, 522) = ( 864 x 522 ) / 25056

= 864 / 522

= 864

Step2:

LCM(18, 689) = 12402

GCD(18, 689) = ( 18 x 689 ) / 12402

= 18 / 689

= 18

Step3:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

So, Greatest Common Divisor of 864, 522, 689, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 771, 921, 145
• GCD of 477, 261, 987, 679
• GCD of 277, 235, 112, 309
• GCD of 272, 402, 912, 663
• GCD of 384, 414, 946, 727

Given numbers are 864, 522, 689, 149
The greatest common divisor of numbers 864, 522, 689, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 522, 689, 149 is 1.

1. What is the GCD of 864, 522, 689, 149?

GCD of given numbers 864, 522, 689, 149 is 1

2. How to calculate the greatest common divisor of 864, 522, 689, 149?

We can find the highest common divisor of 864, 522, 689, 149 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 864, 522, 689, 149 i.e 1.

3. How can I use the GCD of 864, 522, 689, 149Calculator?

Out the numbers 864, 522, 689, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.