GCD of 432, 369, 649, 684 Calculator

Given Input numbers are 432, 369, 649, 684

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (432, 369, 649, 684) = 1.

Given numbers are 432, 369, 649, 684

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 369 are 3 x 3 x 41

Prime factors of 649 are 11 x 59

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 432, 369, 649, 684

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

Apply this formula for all numbers.

Step1:

LCM(432, 369) = 17712

GCD(432, 369) = ( 432 x 369 ) / 17712

= 432 / 369

= 432

Step2:

LCM(9, 649) = 5841

GCD(9, 649) = ( 9 x 649 ) / 5841

= 9 / 649

= 9

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 432, 369, 649, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 161, 755, 253
• GCD of 463, 261, 620, 975
• GCD of 166, 203, 820, 532
• GCD of 532, 515, 411, 176
• GCD of 956, 254, 946, 100

Given numbers are 432, 369, 649, 684
The greatest common divisor of numbers 432, 369, 649, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 369, 649, 684 is 1.

1. What is the GCD of 432, 369, 649, 684?

GCD of given numbers 432, 369, 649, 684 is 1

2. How to calculate the greatest common divisor of 432, 369, 649, 684?

We can find the highest common divisor of 432, 369, 649, 684 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, 369, 649, 684 i.e 1.

3. How can I use the GCD of 432, 369, 649, 684Calculator?

Out the numbers 432, 369, 649, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.