GCD of 689, 697, 655, 172 Calculator

Given Input numbers are 689, 697, 655, 172

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 697 :

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

1, 17, 41, 697

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (689, 697, 655, 172) = 1.

Given numbers are 689, 697, 655, 172

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 697 are 17 x 41

Prime factors of 655 are 5 x 131

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 689, 697, 655, 172

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

Apply this formula for all numbers.

Step1:

LCM(689, 697) = 480233

GCD(689, 697) = ( 689 x 697 ) / 480233

= 689 / 697

= 689

Step2:

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

= 1 / 655

= 1

Step3:

LCM(1, 172) = 172

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

= 1 / 172

= 1

So, Greatest Common Divisor of 689, 697, 655, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 925, 883, 996
• GCD of 364, 868, 699, 774
• GCD of 686, 616, 746, 723
• GCD of 137, 326, 843, 915
• GCD of 301, 992, 133, 408

Given numbers are 689, 697, 655, 172
The greatest common divisor of numbers 689, 697, 655, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 697, 655, 172 is 1.

1. What is the GCD of 689, 697, 655, 172?

GCD of given numbers 689, 697, 655, 172 is 1

2. How to calculate the greatest common divisor of 689, 697, 655, 172?

We can find the highest common divisor of 689, 697, 655, 172 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 689, 697, 655, 172 i.e 1.

3. How can I use the GCD of 689, 697, 655, 172Calculator?

Out the numbers 689, 697, 655, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.