GCD of 768, 953, 162, 360 Calculator

Given Input numbers are 768, 953, 162, 360

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (768, 953, 162, 360) = 1.

Given numbers are 768, 953, 162, 360

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 953 are 953

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 768, 953, 162, 360

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

Apply this formula for all numbers.

Step1:

LCM(768, 953) = 731904

GCD(768, 953) = ( 768 x 953 ) / 731904

= 768 / 953

= 768

Step2:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 768, 953, 162, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 499, 170, 439
• GCD of 710, 403, 422, 459
• GCD of 872, 527, 993, 756
• GCD of 451, 759, 173, 137
• GCD of 638, 310, 892, 671

Given numbers are 768, 953, 162, 360
The greatest common divisor of numbers 768, 953, 162, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 953, 162, 360 is 1.

1. What is the GCD of 768, 953, 162, 360?

GCD of given numbers 768, 953, 162, 360 is 1

2. How to calculate the greatest common divisor of 768, 953, 162, 360?

We can find the highest common divisor of 768, 953, 162, 360 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 768, 953, 162, 360 i.e 1.

3. How can I use the GCD of 768, 953, 162, 360Calculator?

Out the numbers 768, 953, 162, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.