GCD of 432, 505, 371, 172 Calculator

Given Input numbers are 432, 505, 371, 172

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

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 (432, 505, 371, 172) = 1.

Given numbers are 432, 505, 371, 172

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 505 are 5 x 101

Prime factors of 371 are 7 x 53

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 432, 505, 371, 172

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

Apply this formula for all numbers.

Step1:

LCM(432, 505) = 218160

GCD(432, 505) = ( 432 x 505 ) / 218160

= 432 / 505

= 432

Step2:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1

Step3:

LCM(1, 172) = 172

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

= 1 / 172

= 1

So, Greatest Common Divisor of 432, 505, 371, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 157, 876, 987
• GCD of 406, 807, 499, 578
• GCD of 305, 503, 794, 927
• GCD of 439, 458, 666, 107
• GCD of 572, 997, 865, 862

Given numbers are 432, 505, 371, 172
The greatest common divisor of numbers 432, 505, 371, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 505, 371, 172 is 1.

1. What is the GCD of 432, 505, 371, 172?

GCD of given numbers 432, 505, 371, 172 is 1

2. How to calculate the greatest common divisor of 432, 505, 371, 172?

We can find the highest common divisor of 432, 505, 371, 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 432, 505, 371, 172 i.e 1.

3. How can I use the GCD of 432, 505, 371, 172Calculator?

Out the numbers 432, 505, 371, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.