GCD of 376, 585, 456, 396 Calculator

Given Input numbers are 376, 585, 456, 396

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

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (376, 585, 456, 396) = 1.

Given numbers are 376, 585, 456, 396

The list of prime factors of all numbers are

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

Given numbers are 376, 585, 456, 396

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

Apply this formula for all numbers.

Step1:

LCM(376, 585) = 219960

GCD(376, 585) = ( 376 x 585 ) / 219960

= 376 / 585

= 376

Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

So, Greatest Common Divisor of 376, 585, 456, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 484, 992, 819
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• GCD of 646, 781, 470, 739
• GCD of 679, 627, 596, 159
• GCD of 430, 333, 660, 365

Given numbers are 376, 585, 456, 396
The greatest common divisor of numbers 376, 585, 456, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 585, 456, 396 is 1.

1. What is the GCD of 376, 585, 456, 396?

GCD of given numbers 376, 585, 456, 396 is 1

2. How to calculate the greatest common divisor of 376, 585, 456, 396?

We can find the highest common divisor of 376, 585, 456, 396 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 376, 585, 456, 396 i.e 1.

3. How can I use the GCD of 376, 585, 456, 396Calculator?

Out the numbers 376, 585, 456, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.