GCD of 696, 108, 71, 814 Calculator

Given Input numbers are 696, 108, 71, 814

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

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 814 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (696, 108, 71, 814) = 1.

Given numbers are 696, 108, 71, 814

The list of prime factors of all numbers are

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 71 are 71

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 696, 108, 71, 814

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

Apply this formula for all numbers.

Step1:

LCM(696, 108) = 6264

GCD(696, 108) = ( 696 x 108 ) / 6264

= 696 / 108

= 696

Step2:

LCM(12, 71) = 852

GCD(12, 71) = ( 12 x 71 ) / 852

= 12 / 71

= 12

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 696, 108, 71, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 866, 69, 417
• GCD of 936, 737, 27, 111
• GCD of 111, 711, 66, 470
• GCD of 258, 552, 27, 400
• GCD of 877, 103, 85, 956

Given numbers are 696, 108, 71, 814
The greatest common divisor of numbers 696, 108, 71, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 108, 71, 814 is 1.

1. What is the GCD of 696, 108, 71, 814?

GCD of given numbers 696, 108, 71, 814 is 1

2. How to calculate the greatest common divisor of 696, 108, 71, 814?

We can find the highest common divisor of 696, 108, 71, 814 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 696, 108, 71, 814 i.e 1.

3. How can I use the GCD of 696, 108, 71, 814Calculator?

Out the numbers 696, 108, 71, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.