GCD of 432, 468, 354, 369 Calculator

Given Input numbers are 432, 468, 354, 369

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (432, 468, 354, 369) = 3.

Given numbers are 432, 468, 354, 369

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 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 354 are 2 x 3 x 59

Prime factors of 369 are 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 432, 468, 354, 369 is 3.

Given numbers are 432, 468, 354, 369

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

Apply this formula for all numbers.

Step1:

LCM(432, 468) = 5616

GCD(432, 468) = ( 432 x 468 ) / 5616

= 432 / 468

= 432

Step2:

LCM(36, 354) = 2124

GCD(36, 354) = ( 36 x 354 ) / 2124

= 36 / 354

= 36

Step3:

LCM(6, 369) = 738

GCD(6, 369) = ( 6 x 369 ) / 738

= 6 / 369

= 6

So, Greatest Common Divisor of 432, 468, 354, 369 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 448, 318, 628
• GCD of 576, 278, 982, 172
• GCD of 186, 496, 746, 628
• GCD of 799, 453, 533, 417
• GCD of 127, 888, 381, 844

Given numbers are 432, 468, 354, 369
The greatest common divisor of numbers 432, 468, 354, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 468, 354, 369 is 3.

1. What is the GCD of 432, 468, 354, 369?

GCD of given numbers 432, 468, 354, 369 is 3

2. How to calculate the greatest common divisor of 432, 468, 354, 369?

We can find the highest common divisor of 432, 468, 354, 369 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, 468, 354, 369 i.e 3.

3. How can I use the GCD of 432, 468, 354, 369Calculator?

Out the numbers 432, 468, 354, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.