GCD of 782, 996, 549, 488 Calculator

Given Input numbers are 782, 996, 549, 488

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

GCD of numbers is the greatest common divisor

So, the GCD (782, 996, 549, 488) = 1.

Given numbers are 782, 996, 549, 488

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 549 are 3 x 3 x 61

Prime factors of 488 are 2 x 2 x 2 x 61

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

Given numbers are 782, 996, 549, 488

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

Apply this formula for all numbers.

Step1:

LCM(782, 996) = 389436

GCD(782, 996) = ( 782 x 996 ) / 389436

= 782 / 996

= 782

Step2:

LCM(2, 549) = 1098

GCD(2, 549) = ( 2 x 549 ) / 1098

= 2 / 549

= 2

Step3:

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

= 1 / 488

= 1

So, Greatest Common Divisor of 782, 996, 549, 488 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 141, 532, 105
• GCD of 504, 211, 178, 160
• GCD of 367, 413, 716, 564
• GCD of 822, 782, 588, 172
• GCD of 596, 806, 288, 976

Given numbers are 782, 996, 549, 488
The greatest common divisor of numbers 782, 996, 549, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 996, 549, 488 is 1.

1. What is the GCD of 782, 996, 549, 488?

GCD of given numbers 782, 996, 549, 488 is 1

2. How to calculate the greatest common divisor of 782, 996, 549, 488?

We can find the highest common divisor of 782, 996, 549, 488 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, 996, 549, 488 i.e 1.

3. How can I use the GCD of 782, 996, 549, 488Calculator?

Out the numbers 782, 996, 549, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.