GCD of 462, 814, 302, 729 Calculator

Given Input numbers are 462, 814, 302, 729

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 814 :

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

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 729 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 814, 302, 729) = 1.

Given numbers are 462, 814, 302, 729

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 814 are 2 x 11 x 37

Prime factors of 302 are 2 x 151

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

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

Given numbers are 462, 814, 302, 729

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

Apply this formula for all numbers.

Step1:

LCM(462, 814) = 17094

GCD(462, 814) = ( 462 x 814 ) / 17094

= 462 / 814

= 462

Step2:

LCM(22, 302) = 3322

GCD(22, 302) = ( 22 x 302 ) / 3322

= 22 / 302

= 22

Step3:

LCM(2, 729) = 1458

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

= 2 / 729

= 2

So, Greatest Common Divisor of 462, 814, 302, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 222, 764, 539
• GCD of 620, 863, 465, 504
• GCD of 728, 138, 719, 106
• GCD of 161, 695, 112, 309
• GCD of 753, 998, 759, 953

Given numbers are 462, 814, 302, 729
The greatest common divisor of numbers 462, 814, 302, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 814, 302, 729 is 1.

1. What is the GCD of 462, 814, 302, 729?

GCD of given numbers 462, 814, 302, 729 is 1

2. How to calculate the greatest common divisor of 462, 814, 302, 729?

We can find the highest common divisor of 462, 814, 302, 729 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 462, 814, 302, 729 i.e 1.

3. How can I use the GCD of 462, 814, 302, 729Calculator?

Out the numbers 462, 814, 302, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.