GCD of 164, 689, 285, 704 Calculator

Given Input numbers are 164, 689, 285, 704

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (164, 689, 285, 704) = 1.

Given numbers are 164, 689, 285, 704

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 689 are 13 x 53

Prime factors of 285 are 3 x 5 x 19

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Given numbers are 164, 689, 285, 704

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

Apply this formula for all numbers.

Step1:

LCM(164, 689) = 112996

GCD(164, 689) = ( 164 x 689 ) / 112996

= 164 / 689

= 164

Step2:

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

= 1 / 285

= 1

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 164, 689, 285, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 559, 560, 120
• GCD of 890, 531, 717, 124
• GCD of 116, 544, 639, 211
• GCD of 561, 717, 900, 321
• GCD of 765, 422, 534, 335

Given numbers are 164, 689, 285, 704
The greatest common divisor of numbers 164, 689, 285, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 689, 285, 704 is 1.

1. What is the GCD of 164, 689, 285, 704?

GCD of given numbers 164, 689, 285, 704 is 1

2. How to calculate the greatest common divisor of 164, 689, 285, 704?

We can find the highest common divisor of 164, 689, 285, 704 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 164, 689, 285, 704 i.e 1.

3. How can I use the GCD of 164, 689, 285, 704Calculator?

Out the numbers 164, 689, 285, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.