GCD of 814, 308, 696, 493 Calculator

Given Input numbers are 814, 308, 696, 493

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

GCD of numbers is the greatest common divisor

So, the GCD (814, 308, 696, 493) = 1.

Given numbers are 814, 308, 696, 493

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 493 are 17 x 29

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

Given numbers are 814, 308, 696, 493

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

Apply this formula for all numbers.

Step1:

LCM(814, 308) = 11396

GCD(814, 308) = ( 814 x 308 ) / 11396

= 814 / 308

= 814

Step2:

LCM(22, 696) = 7656

GCD(22, 696) = ( 22 x 696 ) / 7656

= 22 / 696

= 22

Step3:

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

= 2 / 493

= 2

So, Greatest Common Divisor of 814, 308, 696, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 697, 863, 901
• GCD of 355, 343, 293, 847
• GCD of 677, 518, 799, 423
• GCD of 394, 209, 522, 454
• GCD of 364, 531, 108, 983

Given numbers are 814, 308, 696, 493
The greatest common divisor of numbers 814, 308, 696, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 308, 696, 493 is 1.

1. What is the GCD of 814, 308, 696, 493?

GCD of given numbers 814, 308, 696, 493 is 1

2. How to calculate the greatest common divisor of 814, 308, 696, 493?

We can find the highest common divisor of 814, 308, 696, 493 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 814, 308, 696, 493 i.e 1.

3. How can I use the GCD of 814, 308, 696, 493Calculator?

Out the numbers 814, 308, 696, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.