GCD of 429, 921, 405, 813 Calculator

Given Input numbers are 429, 921, 405, 813

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

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 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (429, 921, 405, 813) = 3.

Given numbers are 429, 921, 405, 813

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 921 are 3 x 307

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

Prime factors of 813 are 3 x 271

The highest common occurrence is 3¹

Therefore, GCD of 429, 921, 405, 813 is 3.

Given numbers are 429, 921, 405, 813

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

Apply this formula for all numbers.

Step1:

LCM(429, 921) = 131703

GCD(429, 921) = ( 429 x 921 ) / 131703

= 429 / 921

= 429

Step2:

LCM(3, 405) = 405

GCD(3, 405) = ( 3 x 405 ) / 405

= 3 / 405

= 3

Step3:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3

So, Greatest Common Divisor of 429, 921, 405, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 321, 150, 803
• GCD of 169, 602, 700, 168
• GCD of 598, 370, 552, 548
• GCD of 429, 318, 567, 297
• GCD of 921, 320, 363, 482

Given numbers are 429, 921, 405, 813
The greatest common divisor of numbers 429, 921, 405, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 921, 405, 813 is 3.

1. What is the GCD of 429, 921, 405, 813?

GCD of given numbers 429, 921, 405, 813 is 3

2. How to calculate the greatest common divisor of 429, 921, 405, 813?

We can find the highest common divisor of 429, 921, 405, 813 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 429, 921, 405, 813 i.e 3.

3. How can I use the GCD of 429, 921, 405, 813Calculator?

Out the numbers 429, 921, 405, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.