GCD of 480, 535, 365, 768 Calculator

Given Input numbers are 480, 535, 365, 768

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

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

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

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

GCD of numbers is the greatest common divisor

So, the GCD (480, 535, 365, 768) = 1.

Given numbers are 480, 535, 365, 768

The list of prime factors of all numbers are

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

Prime factors of 535 are 5 x 107

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

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

Given numbers are 480, 535, 365, 768

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

Apply this formula for all numbers.

Step1:

LCM(480, 535) = 51360

GCD(480, 535) = ( 480 x 535 ) / 51360

= 480 / 535

= 480

Step2:

LCM(5, 365) = 365

GCD(5, 365) = ( 5 x 365 ) / 365

= 5 / 365

= 5

Step3:

LCM(5, 768) = 3840

GCD(5, 768) = ( 5 x 768 ) / 3840

= 5 / 768

= 5

So, Greatest Common Divisor of 480, 535, 365, 768 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 990, 169, 355
• GCD of 486, 851, 717, 849
• GCD of 171, 870, 602, 733
• GCD of 461, 730, 387, 993
• GCD of 384, 735, 996, 923

Given numbers are 480, 535, 365, 768
The greatest common divisor of numbers 480, 535, 365, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 535, 365, 768 is 1.

1. What is the GCD of 480, 535, 365, 768?

GCD of given numbers 480, 535, 365, 768 is 1

2. How to calculate the greatest common divisor of 480, 535, 365, 768?

We can find the highest common divisor of 480, 535, 365, 768 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 480, 535, 365, 768 i.e 1.

3. How can I use the GCD of 480, 535, 365, 768Calculator?

Out the numbers 480, 535, 365, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.