GCD of 996, 406, 780, 343 Calculator

Given Input numbers are 996, 406, 780, 343

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

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 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (996, 406, 780, 343) = 1.

Given numbers are 996, 406, 780, 343

The list of prime factors of all numbers are

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

Prime factors of 406 are 2 x 7 x 29

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 996, 406, 780, 343

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

Apply this formula for all numbers.

Step1:

LCM(996, 406) = 202188

GCD(996, 406) = ( 996 x 406 ) / 202188

= 996 / 406

= 996

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

So, Greatest Common Divisor of 996, 406, 780, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 301, 171, 494
• GCD of 580, 612, 925, 363
• GCD of 141, 597, 770, 245
• GCD of 473, 404, 309, 459
• GCD of 294, 826, 772, 338

Given numbers are 996, 406, 780, 343
The greatest common divisor of numbers 996, 406, 780, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 406, 780, 343 is 1.

1. What is the GCD of 996, 406, 780, 343?

GCD of given numbers 996, 406, 780, 343 is 1

2. How to calculate the greatest common divisor of 996, 406, 780, 343?

We can find the highest common divisor of 996, 406, 780, 343 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 996, 406, 780, 343 i.e 1.

3. How can I use the GCD of 996, 406, 780, 343Calculator?

Out the numbers 996, 406, 780, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.