GCD of 432, 169, 315, 492 Calculator

Given Input numbers are 432, 169, 315, 492

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (432, 169, 315, 492) = 1.

Given numbers are 432, 169, 315, 492

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 169 are 13 x 13

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 492 are 2 x 2 x 3 x 41

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

Given numbers are 432, 169, 315, 492

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

Apply this formula for all numbers.

Step1:

LCM(432, 169) = 73008

GCD(432, 169) = ( 432 x 169 ) / 73008

= 432 / 169

= 432

Step2:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

So, Greatest Common Divisor of 432, 169, 315, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 835, 689, 541
• GCD of 303, 693, 882, 802
• GCD of 468, 339, 962, 314
• GCD of 394, 468, 534, 489
• GCD of 679, 160, 246, 375

Given numbers are 432, 169, 315, 492
The greatest common divisor of numbers 432, 169, 315, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 169, 315, 492 is 1.

1. What is the GCD of 432, 169, 315, 492?

GCD of given numbers 432, 169, 315, 492 is 1

2. How to calculate the greatest common divisor of 432, 169, 315, 492?

We can find the highest common divisor of 432, 169, 315, 492 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 432, 169, 315, 492 i.e 1.

3. How can I use the GCD of 432, 169, 315, 492Calculator?

Out the numbers 432, 169, 315, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.