GCD of 540, 760, 32, 363 Calculator

Given Input numbers are 540, 760, 32, 363

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 32 :

The positive integer divisors of 32 that completely divides 32 are.

1, 2, 4, 8, 16, 32

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (540, 760, 32, 363) = 1.

Given numbers are 540, 760, 32, 363

The list of prime factors of all numbers are

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 32 are 2 x 2 x 2 x 2 x 2

Prime factors of 363 are 3 x 11 x 11

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

Given numbers are 540, 760, 32, 363

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

Apply this formula for all numbers.

Step1:

LCM(540, 760) = 20520

GCD(540, 760) = ( 540 x 760 ) / 20520

= 540 / 760

= 540

Step2:

LCM(20, 32) = 160

GCD(20, 32) = ( 20 x 32 ) / 160

= 20 / 32

= 20

Step3:

LCM(4, 363) = 1452

GCD(4, 363) = ( 4 x 363 ) / 1452

= 4 / 363

= 4

So, Greatest Common Divisor of 540, 760, 32, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 650, 22, 767
• GCD of 924, 632, 75, 357
• GCD of 751, 992, 89, 959
• GCD of 924, 904, 50, 216
• GCD of 873, 970, 18, 393

Given numbers are 540, 760, 32, 363
The greatest common divisor of numbers 540, 760, 32, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 760, 32, 363 is 1.

1. What is the GCD of 540, 760, 32, 363?

GCD of given numbers 540, 760, 32, 363 is 1

2. How to calculate the greatest common divisor of 540, 760, 32, 363?

We can find the highest common divisor of 540, 760, 32, 363 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 540, 760, 32, 363 i.e 1.

3. How can I use the GCD of 540, 760, 32, 363Calculator?

Out the numbers 540, 760, 32, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.