GCD of 123, 462, 671, 172 Calculator

Given Input numbers are 123, 462, 671, 172

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

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 (123, 462, 671, 172) = 1.

Given numbers are 123, 462, 671, 172

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 671 are 11 x 61

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 123, 462, 671, 172

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

Apply this formula for all numbers.

Step1:

LCM(123, 462) = 18942

GCD(123, 462) = ( 123 x 462 ) / 18942

= 123 / 462

= 123

Step2:

LCM(3, 671) = 2013

GCD(3, 671) = ( 3 x 671 ) / 2013

= 3 / 671

= 3

Step3:

LCM(1, 172) = 172

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

= 1 / 172

= 1

So, Greatest Common Divisor of 123, 462, 671, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 772, 199, 215
• GCD of 976, 574, 222, 901
• GCD of 506, 273, 890, 472
• GCD of 971, 160, 664, 362
• GCD of 204, 152, 906, 278

Given numbers are 123, 462, 671, 172
The greatest common divisor of numbers 123, 462, 671, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 462, 671, 172 is 1.

1. What is the GCD of 123, 462, 671, 172?

GCD of given numbers 123, 462, 671, 172 is 1

2. How to calculate the greatest common divisor of 123, 462, 671, 172?

We can find the highest common divisor of 123, 462, 671, 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 123, 462, 671, 172 i.e 1.

3. How can I use the GCD of 123, 462, 671, 172Calculator?

Out the numbers 123, 462, 671, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.