GCD of 172, 185, 269, 489 Calculator

Given Input numbers are 172, 185, 269, 489

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (172, 185, 269, 489) = 1.

Given numbers are 172, 185, 269, 489

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 185 are 5 x 37

Prime factors of 269 are 269

Prime factors of 489 are 3 x 163

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

Given numbers are 172, 185, 269, 489

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

Apply this formula for all numbers.

Step1:

LCM(172, 185) = 31820

GCD(172, 185) = ( 172 x 185 ) / 31820

= 172 / 185

= 172

Step2:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

Step3:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1

So, Greatest Common Divisor of 172, 185, 269, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 701, 793, 362
• GCD of 829, 307, 697, 105
• GCD of 360, 676, 723, 330
• GCD of 750, 583, 597, 485
• GCD of 802, 493, 498, 102

Given numbers are 172, 185, 269, 489
The greatest common divisor of numbers 172, 185, 269, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 185, 269, 489 is 1.

1. What is the GCD of 172, 185, 269, 489?

GCD of given numbers 172, 185, 269, 489 is 1

2. How to calculate the greatest common divisor of 172, 185, 269, 489?

We can find the highest common divisor of 172, 185, 269, 489 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 172, 185, 269, 489 i.e 1.

3. How can I use the GCD of 172, 185, 269, 489Calculator?

Out the numbers 172, 185, 269, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.