GCD of 945, 330, 400, 384 Calculator

Given Input numbers are 945, 330, 400, 384

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (945, 330, 400, 384) = 1.

Given numbers are 945, 330, 400, 384

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Given numbers are 945, 330, 400, 384

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

Apply this formula for all numbers.

Step1:

LCM(945, 330) = 20790

GCD(945, 330) = ( 945 x 330 ) / 20790

= 945 / 330

= 945

Step2:

LCM(15, 400) = 1200

GCD(15, 400) = ( 15 x 400 ) / 1200

= 15 / 400

= 15

Step3:

LCM(5, 384) = 1920

GCD(5, 384) = ( 5 x 384 ) / 1920

= 5 / 384

= 5

So, Greatest Common Divisor of 945, 330, 400, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 702, 410, 507
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• GCD of 178, 421, 798, 946
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• GCD of 644, 634, 857, 261

Given numbers are 945, 330, 400, 384
The greatest common divisor of numbers 945, 330, 400, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 330, 400, 384 is 1.

1. What is the GCD of 945, 330, 400, 384?

GCD of given numbers 945, 330, 400, 384 is 1

2. How to calculate the greatest common divisor of 945, 330, 400, 384?

We can find the highest common divisor of 945, 330, 400, 384 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 945, 330, 400, 384 i.e 1.

3. How can I use the GCD of 945, 330, 400, 384Calculator?

Out the numbers 945, 330, 400, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.