GCD of 682, 228, 729, 109 Calculator

Given Input numbers are 682, 228, 729, 109

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 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 729 :

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

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (682, 228, 729, 109) = 1.

Given numbers are 682, 228, 729, 109

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 228 are 2 x 2 x 3 x 19

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

Prime factors of 109 are 109

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

Given numbers are 682, 228, 729, 109

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

Apply this formula for all numbers.

Step1:

LCM(682, 228) = 77748

GCD(682, 228) = ( 682 x 228 ) / 77748

= 682 / 228

= 682

Step2:

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

= 2 / 729

= 2

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 682, 228, 729, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 135, 579, 943
• GCD of 625, 572, 662, 607
• GCD of 162, 490, 398, 214
• GCD of 479, 421, 321, 307
• GCD of 170, 116, 162, 325

Given numbers are 682, 228, 729, 109
The greatest common divisor of numbers 682, 228, 729, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 228, 729, 109 is 1.

1. What is the GCD of 682, 228, 729, 109?

GCD of given numbers 682, 228, 729, 109 is 1

2. How to calculate the greatest common divisor of 682, 228, 729, 109?

We can find the highest common divisor of 682, 228, 729, 109 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, 228, 729, 109 i.e 1.

3. How can I use the GCD of 682, 228, 729, 109Calculator?

Out the numbers 682, 228, 729, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.