GCD of 686, 864, 731, 355 Calculator

Given Input numbers are 686, 864, 731, 355

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (686, 864, 731, 355) = 1.

Given numbers are 686, 864, 731, 355

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 731 are 17 x 43

Prime factors of 355 are 5 x 71

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

Given numbers are 686, 864, 731, 355

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

Apply this formula for all numbers.

Step1:

LCM(686, 864) = 296352

GCD(686, 864) = ( 686 x 864 ) / 296352

= 686 / 864

= 686

Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 686, 864, 731, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 745, 820, 540
• GCD of 839, 567, 236, 613
• GCD of 637, 163, 349, 910
• GCD of 760, 506, 106, 722
• GCD of 420, 782, 210, 116

Given numbers are 686, 864, 731, 355
The greatest common divisor of numbers 686, 864, 731, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 864, 731, 355 is 1.

1. What is the GCD of 686, 864, 731, 355?

GCD of given numbers 686, 864, 731, 355 is 1

2. How to calculate the greatest common divisor of 686, 864, 731, 355?

We can find the highest common divisor of 686, 864, 731, 355 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 686, 864, 731, 355 i.e 1.

3. How can I use the GCD of 686, 864, 731, 355Calculator?

Out the numbers 686, 864, 731, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.