GCD of 555, 765, 36, 480 Calculator

Given Input numbers are 555, 765, 36, 480

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

Divisors of 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 (555, 765, 36, 480) = 3.

Given numbers are 555, 765, 36, 480

The list of prime factors of all numbers are

Prime factors of 555 are 3 x 5 x 37

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 36 are 2 x 2 x 3 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 555, 765, 36, 480 is 3.

Given numbers are 555, 765, 36, 480

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

Apply this formula for all numbers.

Step1:

LCM(555, 765) = 28305

GCD(555, 765) = ( 555 x 765 ) / 28305

= 555 / 765

= 555

Step2:

LCM(15, 36) = 180

GCD(15, 36) = ( 15 x 36 ) / 180

= 15 / 36

= 15

Step3:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

So, Greatest Common Divisor of 555, 765, 36, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 359, 22, 740
• GCD of 714, 137, 73, 399
• GCD of 970, 223, 17, 199
• GCD of 988, 260, 89, 378
• GCD of 672, 793, 51, 732

Given numbers are 555, 765, 36, 480
The greatest common divisor of numbers 555, 765, 36, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 555, 765, 36, 480 is 3.

1. What is the GCD of 555, 765, 36, 480?

GCD of given numbers 555, 765, 36, 480 is 3

2. How to calculate the greatest common divisor of 555, 765, 36, 480?

We can find the highest common divisor of 555, 765, 36, 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 555, 765, 36, 480 i.e 3.

3. How can I use the GCD of 555, 765, 36, 480Calculator?

Out the numbers 555, 765, 36, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.