GCD of 682, 729, 557, 314 Calculator

Given Input numbers are 682, 729, 557, 314

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 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 557 :

The positive integer divisors of 557 that completely divides 557 are.

1, 557

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (682, 729, 557, 314) = 1.

Given numbers are 682, 729, 557, 314

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 557 are 557

Prime factors of 314 are 2 x 157

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

Given numbers are 682, 729, 557, 314

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

Apply this formula for all numbers.

Step1:

LCM(682, 729) = 497178

GCD(682, 729) = ( 682 x 729 ) / 497178

= 682 / 729

= 682

Step2:

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

= 1 / 557

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 682, 729, 557, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 148, 838, 545
• GCD of 835, 718, 396, 793
• GCD of 178, 494, 877, 128
• GCD of 223, 825, 409, 769
• GCD of 657, 482, 220, 289

Given numbers are 682, 729, 557, 314
The greatest common divisor of numbers 682, 729, 557, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 729, 557, 314 is 1.

1. What is the GCD of 682, 729, 557, 314?

GCD of given numbers 682, 729, 557, 314 is 1

2. How to calculate the greatest common divisor of 682, 729, 557, 314?

We can find the highest common divisor of 682, 729, 557, 314 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, 729, 557, 314 i.e 1.

3. How can I use the GCD of 682, 729, 557, 314Calculator?

Out the numbers 682, 729, 557, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.