GCD of 596, 687, 420, 160 Calculator

Given Input numbers are 596, 687, 420, 160

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (596, 687, 420, 160) = 1.

Given numbers are 596, 687, 420, 160

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 687 are 3 x 229

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 596, 687, 420, 160

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

Apply this formula for all numbers.

Step1:

LCM(596, 687) = 409452

GCD(596, 687) = ( 596 x 687 ) / 409452

= 596 / 687

= 596

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

= 1 / 160

= 1

So, Greatest Common Divisor of 596, 687, 420, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 489, 196, 464
• GCD of 273, 505, 849, 926
• GCD of 350, 511, 732, 584
• GCD of 557, 889, 201, 989
• GCD of 311, 907, 469, 512

Given numbers are 596, 687, 420, 160
The greatest common divisor of numbers 596, 687, 420, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 687, 420, 160 is 1.

1. What is the GCD of 596, 687, 420, 160?

GCD of given numbers 596, 687, 420, 160 is 1

2. How to calculate the greatest common divisor of 596, 687, 420, 160?

We can find the highest common divisor of 596, 687, 420, 160 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 596, 687, 420, 160 i.e 1.

3. How can I use the GCD of 596, 687, 420, 160Calculator?

Out the numbers 596, 687, 420, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.