GCD of 432, 420, 693, 412 Calculator

Given Input numbers are 432, 420, 693, 412

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (432, 420, 693, 412) = 1.

Given numbers are 432, 420, 693, 412

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 412 are 2 x 2 x 103

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

Given numbers are 432, 420, 693, 412

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

Apply this formula for all numbers.

Step1:

LCM(432, 420) = 15120

GCD(432, 420) = ( 432 x 420 ) / 15120

= 432 / 420

= 432

Step2:

LCM(12, 693) = 2772

GCD(12, 693) = ( 12 x 693 ) / 2772

= 12 / 693

= 12

Step3:

LCM(3, 412) = 1236

GCD(3, 412) = ( 3 x 412 ) / 1236

= 3 / 412

= 3

So, Greatest Common Divisor of 432, 420, 693, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 477, 985, 760
• GCD of 688, 546, 319, 780
• GCD of 397, 484, 889, 500
• GCD of 348, 252, 462, 192
• GCD of 246, 625, 799, 338

Given numbers are 432, 420, 693, 412
The greatest common divisor of numbers 432, 420, 693, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 420, 693, 412 is 1.

1. What is the GCD of 432, 420, 693, 412?

GCD of given numbers 432, 420, 693, 412 is 1

2. How to calculate the greatest common divisor of 432, 420, 693, 412?

We can find the highest common divisor of 432, 420, 693, 412 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, 420, 693, 412 i.e 1.

3. How can I use the GCD of 432, 420, 693, 412Calculator?

Out the numbers 432, 420, 693, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.