GCD of 381, 669, 654, 408 Calculator

Given Input numbers are 381, 669, 654, 408

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 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (381, 669, 654, 408) = 3.

Given numbers are 381, 669, 654, 408

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 669 are 3 x 223

Prime factors of 654 are 2 x 3 x 109

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 381, 669, 654, 408 is 3.

Given numbers are 381, 669, 654, 408

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

Apply this formula for all numbers.

Step1:

LCM(381, 669) = 84963

GCD(381, 669) = ( 381 x 669 ) / 84963

= 381 / 669

= 381

Step2:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

Step3:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

So, Greatest Common Divisor of 381, 669, 654, 408 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 898, 658, 609
• GCD of 837, 722, 337, 119
• GCD of 278, 986, 874, 157
• GCD of 654, 307, 851, 307
• GCD of 627, 153, 486, 454

Given numbers are 381, 669, 654, 408
The greatest common divisor of numbers 381, 669, 654, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 669, 654, 408 is 3.

1. What is the GCD of 381, 669, 654, 408?

GCD of given numbers 381, 669, 654, 408 is 3

2. How to calculate the greatest common divisor of 381, 669, 654, 408?

We can find the highest common divisor of 381, 669, 654, 408 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, 669, 654, 408 i.e 3.

3. How can I use the GCD of 381, 669, 654, 408Calculator?

Out the numbers 381, 669, 654, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.