GCD of 656, 420, 692, 689 Calculator

Given Input numbers are 656, 420, 692, 689

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (656, 420, 692, 689) = 1.

Given numbers are 656, 420, 692, 689

The list of prime factors of all numbers are

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 692 are 2 x 2 x 173

Prime factors of 689 are 13 x 53

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

Given numbers are 656, 420, 692, 689

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

Apply this formula for all numbers.

Step1:

LCM(656, 420) = 68880

GCD(656, 420) = ( 656 x 420 ) / 68880

= 656 / 420

= 656

Step2:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

Step3:

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

= 4 / 689

= 4

So, Greatest Common Divisor of 656, 420, 692, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 859, 529, 486
• GCD of 655, 271, 546, 782
• GCD of 781, 790, 702, 715
• GCD of 574, 716, 855, 550
• GCD of 262, 414, 113, 231

Given numbers are 656, 420, 692, 689
The greatest common divisor of numbers 656, 420, 692, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 420, 692, 689 is 1.

1. What is the GCD of 656, 420, 692, 689?

GCD of given numbers 656, 420, 692, 689 is 1

2. How to calculate the greatest common divisor of 656, 420, 692, 689?

We can find the highest common divisor of 656, 420, 692, 689 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 656, 420, 692, 689 i.e 1.

3. How can I use the GCD of 656, 420, 692, 689Calculator?

Out the numbers 656, 420, 692, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.