GCD of 687, 369, 634, 171 Calculator

Given Input numbers are 687, 369, 634, 171

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

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (687, 369, 634, 171) = 1.

Given numbers are 687, 369, 634, 171

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 369 are 3 x 3 x 41

Prime factors of 634 are 2 x 317

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 687, 369, 634, 171

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

Apply this formula for all numbers.

Step1:

LCM(687, 369) = 84501

GCD(687, 369) = ( 687 x 369 ) / 84501

= 687 / 369

= 687

Step2:

LCM(3, 634) = 1902

GCD(3, 634) = ( 3 x 634 ) / 1902

= 3 / 634

= 3

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 687, 369, 634, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 751, 523, 581
• GCD of 441, 125, 247, 654
• GCD of 858, 331, 184, 849
• GCD of 520, 312, 113, 897
• GCD of 473, 637, 567, 835

Given numbers are 687, 369, 634, 171
The greatest common divisor of numbers 687, 369, 634, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 369, 634, 171 is 1.

1. What is the GCD of 687, 369, 634, 171?

GCD of given numbers 687, 369, 634, 171 is 1

2. How to calculate the greatest common divisor of 687, 369, 634, 171?

We can find the highest common divisor of 687, 369, 634, 171 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 687, 369, 634, 171 i.e 1.

3. How can I use the GCD of 687, 369, 634, 171Calculator?

Out the numbers 687, 369, 634, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.