GCD of 369, 354, 432, 484 Calculator

Given Input numbers are 369, 354, 432, 484

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

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 354 :

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

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

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 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (369, 354, 432, 484) = 1.

Given numbers are 369, 354, 432, 484

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 354 are 2 x 3 x 59

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

Prime factors of 484 are 2 x 2 x 11 x 11

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

Given numbers are 369, 354, 432, 484

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

Apply this formula for all numbers.

Step1:

LCM(369, 354) = 43542

GCD(369, 354) = ( 369 x 354 ) / 43542

= 369 / 354

= 369

Step2:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3

Step3:

LCM(3, 484) = 1452

GCD(3, 484) = ( 3 x 484 ) / 1452

= 3 / 484

= 3

So, Greatest Common Divisor of 369, 354, 432, 484 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 396, 619, 606
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• GCD of 353, 961, 564, 242
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• GCD of 986, 954, 679, 387

Given numbers are 369, 354, 432, 484
The greatest common divisor of numbers 369, 354, 432, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 354, 432, 484 is 1.

1. What is the GCD of 369, 354, 432, 484?

GCD of given numbers 369, 354, 432, 484 is 1

2. How to calculate the greatest common divisor of 369, 354, 432, 484?

We can find the highest common divisor of 369, 354, 432, 484 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 369, 354, 432, 484 i.e 1.

3. How can I use the GCD of 369, 354, 432, 484Calculator?

Out the numbers 369, 354, 432, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.