GCD of 405, 762, 729, 380 Calculator

Given Input numbers are 405, 762, 729, 380

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

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 729 :

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

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (405, 762, 729, 380) = 1.

Given numbers are 405, 762, 729, 380

The list of prime factors of all numbers are

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 762 are 2 x 3 x 127

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

Prime factors of 380 are 2 x 2 x 5 x 19

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

Given numbers are 405, 762, 729, 380

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

Apply this formula for all numbers.

Step1:

LCM(405, 762) = 102870

GCD(405, 762) = ( 405 x 762 ) / 102870

= 405 / 762

= 405

Step2:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3

Step3:

LCM(3, 380) = 1140

GCD(3, 380) = ( 3 x 380 ) / 1140

= 3 / 380

= 3

So, Greatest Common Divisor of 405, 762, 729, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 721, 942, 402
• GCD of 756, 282, 620, 563
• GCD of 127, 456, 743, 940
• GCD of 804, 540, 955, 458
• GCD of 977, 785, 720, 425

Given numbers are 405, 762, 729, 380
The greatest common divisor of numbers 405, 762, 729, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 762, 729, 380 is 1.

1. What is the GCD of 405, 762, 729, 380?

GCD of given numbers 405, 762, 729, 380 is 1

2. How to calculate the greatest common divisor of 405, 762, 729, 380?

We can find the highest common divisor of 405, 762, 729, 380 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 405, 762, 729, 380 i.e 1.

3. How can I use the GCD of 405, 762, 729, 380Calculator?

Out the numbers 405, 762, 729, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.