GCD of 365, 768, 826, 480 Calculator

Given Input numbers are 365, 768, 826, 480

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

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 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (365, 768, 826, 480) = 1.

Given numbers are 365, 768, 826, 480

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

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 826 are 2 x 7 x 59

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 365, 768, 826, 480

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

Apply this formula for all numbers.

Step1:

LCM(365, 768) = 280320

GCD(365, 768) = ( 365 x 768 ) / 280320

= 365 / 768

= 365

Step2:

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

= 1 / 826

= 1

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 365, 768, 826, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 547, 198, 546
• GCD of 959, 873, 129, 401
• GCD of 905, 683, 225, 723
• GCD of 164, 588, 592, 905
• GCD of 103, 173, 204, 861

Given numbers are 365, 768, 826, 480
The greatest common divisor of numbers 365, 768, 826, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 768, 826, 480 is 1.

1. What is the GCD of 365, 768, 826, 480?

GCD of given numbers 365, 768, 826, 480 is 1

2. How to calculate the greatest common divisor of 365, 768, 826, 480?

We can find the highest common divisor of 365, 768, 826, 480 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 365, 768, 826, 480 i.e 1.

3. How can I use the GCD of 365, 768, 826, 480Calculator?

Out the numbers 365, 768, 826, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.