GCD of 782, 572, 456, 363 Calculator

Given Input numbers are 782, 572, 456, 363

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 (782, 572, 456, 363) = 1.

Given numbers are 782, 572, 456, 363

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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 782, 572, 456, 363

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

Apply this formula for all numbers.

Step1:

LCM(782, 572) = 223652

GCD(782, 572) = ( 782 x 572 ) / 223652

= 782 / 572

= 782

Step2:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

Step3:

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

= 2 / 363

= 2

So, Greatest Common Divisor of 782, 572, 456, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 644, 301, 156
• GCD of 935, 848, 527, 324
• GCD of 534, 478, 440, 798
• GCD of 991, 835, 109, 174
• GCD of 822, 748, 261, 209

Given numbers are 782, 572, 456, 363
The greatest common divisor of numbers 782, 572, 456, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 572, 456, 363 is 1.

1. What is the GCD of 782, 572, 456, 363?

GCD of given numbers 782, 572, 456, 363 is 1

2. How to calculate the greatest common divisor of 782, 572, 456, 363?

We can find the highest common divisor of 782, 572, 456, 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 782, 572, 456, 363 i.e 1.

3. How can I use the GCD of 782, 572, 456, 363Calculator?

Out the numbers 782, 572, 456, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.