GCD of 381, 171, 693, 333 Calculator

Given Input numbers are 381, 171, 693, 333

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

Divisors of 381 :

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

1, 3, 127, 381

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

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 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

GCD of numbers is the greatest common divisor

So, the GCD (381, 171, 693, 333) = 3.

Given numbers are 381, 171, 693, 333

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 171 are 3 x 3 x 19

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

Prime factors of 333 are 3 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 381, 171, 693, 333 is 3.

Given numbers are 381, 171, 693, 333

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

Apply this formula for all numbers.

Step1:

LCM(381, 171) = 21717

GCD(381, 171) = ( 381 x 171 ) / 21717

= 381 / 171

= 381

Step2:

LCM(3, 693) = 693

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

= 3 / 693

= 3

Step3:

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

= 3 / 333

= 3

So, Greatest Common Divisor of 381, 171, 693, 333 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 353, 969, 625
• GCD of 449, 954, 362, 401
• GCD of 420, 603, 637, 847
• GCD of 247, 232, 777, 715
• GCD of 472, 666, 365, 101

Given numbers are 381, 171, 693, 333
The greatest common divisor of numbers 381, 171, 693, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 171, 693, 333 is 3.

1. What is the GCD of 381, 171, 693, 333?

GCD of given numbers 381, 171, 693, 333 is 3

2. How to calculate the greatest common divisor of 381, 171, 693, 333?

We can find the highest common divisor of 381, 171, 693, 333 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 381, 171, 693, 333 i.e 3.

3. How can I use the GCD of 381, 171, 693, 333Calculator?

Out the numbers 381, 171, 693, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.