GCD of 697, 420, 172, 656 Calculator

Given Input numbers are 697, 420, 172, 656

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

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 656 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (697, 420, 172, 656) = 1.

Given numbers are 697, 420, 172, 656

The list of prime factors of all numbers are

Prime factors of 697 are 17 x 41

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

Prime factors of 172 are 2 x 2 x 43

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

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

Given numbers are 697, 420, 172, 656

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

Apply this formula for all numbers.

Step1:

LCM(697, 420) = 292740

GCD(697, 420) = ( 697 x 420 ) / 292740

= 697 / 420

= 697

Step2:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

Step3:

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

= 1 / 656

= 1

So, Greatest Common Divisor of 697, 420, 172, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 176, 104, 404
• GCD of 695, 207, 371, 221
• GCD of 607, 201, 833, 699
• GCD of 182, 922, 825, 332
• GCD of 707, 516, 131, 180

Given numbers are 697, 420, 172, 656
The greatest common divisor of numbers 697, 420, 172, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 420, 172, 656 is 1.

1. What is the GCD of 697, 420, 172, 656?

GCD of given numbers 697, 420, 172, 656 is 1

2. How to calculate the greatest common divisor of 697, 420, 172, 656?

We can find the highest common divisor of 697, 420, 172, 656 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 697, 420, 172, 656 i.e 1.

3. How can I use the GCD of 697, 420, 172, 656Calculator?

Out the numbers 697, 420, 172, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.