GCD of 180, 340, 407, 432 Calculator

Given Input numbers are 180, 340, 407, 432

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

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

GCD of numbers is the greatest common divisor

So, the GCD (180, 340, 407, 432) = 1.

Given numbers are 180, 340, 407, 432

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 407 are 11 x 37

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

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

Given numbers are 180, 340, 407, 432

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

Apply this formula for all numbers.

Step1:

LCM(180, 340) = 3060

GCD(180, 340) = ( 180 x 340 ) / 3060

= 180 / 340

= 180

Step2:

LCM(20, 407) = 8140

GCD(20, 407) = ( 20 x 407 ) / 8140

= 20 / 407

= 20

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 180, 340, 407, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 868, 893, 214
• GCD of 433, 359, 311, 975
• GCD of 301, 111, 316, 702
• GCD of 671, 960, 112, 134
• GCD of 696, 698, 736, 274

Given numbers are 180, 340, 407, 432
The greatest common divisor of numbers 180, 340, 407, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 340, 407, 432 is 1.

1. What is the GCD of 180, 340, 407, 432?

GCD of given numbers 180, 340, 407, 432 is 1

2. How to calculate the greatest common divisor of 180, 340, 407, 432?

We can find the highest common divisor of 180, 340, 407, 432 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 180, 340, 407, 432 i.e 1.

3. How can I use the GCD of 180, 340, 407, 432Calculator?

Out the numbers 180, 340, 407, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.