GCD of 813, 462, 693, 381 Calculator

Given Input numbers are 813, 462, 693, 381

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

Divisors of 813 :

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

1, 3, 271, 813

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (813, 462, 693, 381) = 3.

Given numbers are 813, 462, 693, 381

The list of prime factors of all numbers are

Prime factors of 813 are 3 x 271

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

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 813, 462, 693, 381 is 3.

Given numbers are 813, 462, 693, 381

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

Apply this formula for all numbers.

Step1:

LCM(813, 462) = 125202

GCD(813, 462) = ( 813 x 462 ) / 125202

= 813 / 462

= 813

Step2:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3

Step3:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

So, Greatest Common Divisor of 813, 462, 693, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 742, 793, 286
• GCD of 554, 430, 139, 771
• GCD of 527, 616, 143, 716
• GCD of 753, 701, 195, 973
• GCD of 544, 993, 283, 312

Given numbers are 813, 462, 693, 381
The greatest common divisor of numbers 813, 462, 693, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 462, 693, 381 is 3.

1. What is the GCD of 813, 462, 693, 381?

GCD of given numbers 813, 462, 693, 381 is 3

2. How to calculate the greatest common divisor of 813, 462, 693, 381?

We can find the highest common divisor of 813, 462, 693, 381 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 813, 462, 693, 381 i.e 3.

3. How can I use the GCD of 813, 462, 693, 381Calculator?

Out the numbers 813, 462, 693, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.