GCD of 682, 345, 728, 561 Calculator

Given Input numbers are 682, 345, 728, 561

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (682, 345, 728, 561) = 1.

Given numbers are 682, 345, 728, 561

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 345 are 3 x 5 x 23

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 561 are 3 x 11 x 17

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

Given numbers are 682, 345, 728, 561

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

Apply this formula for all numbers.

Step1:

LCM(682, 345) = 235290

GCD(682, 345) = ( 682 x 345 ) / 235290

= 682 / 345

= 682

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

So, Greatest Common Divisor of 682, 345, 728, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 560, 912, 655
• GCD of 875, 431, 610, 543
• GCD of 840, 251, 159, 814
• GCD of 892, 193, 356, 501
• GCD of 223, 832, 147, 123

Given numbers are 682, 345, 728, 561
The greatest common divisor of numbers 682, 345, 728, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 345, 728, 561 is 1.

1. What is the GCD of 682, 345, 728, 561?

GCD of given numbers 682, 345, 728, 561 is 1

2. How to calculate the greatest common divisor of 682, 345, 728, 561?

We can find the highest common divisor of 682, 345, 728, 561 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 682, 345, 728, 561 i.e 1.

3. How can I use the GCD of 682, 345, 728, 561Calculator?

Out the numbers 682, 345, 728, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.