GCD of 408, 208, 43, 361 Calculator

Given Input numbers are 408, 208, 43, 361

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

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 43 :

The positive integer divisors of 43 that completely divides 43 are.

1, 43

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (408, 208, 43, 361) = 1.

Given numbers are 408, 208, 43, 361

The list of prime factors of all numbers are

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

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 43 are 43

Prime factors of 361 are 19 x 19

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

Given numbers are 408, 208, 43, 361

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

Apply this formula for all numbers.

Step1:

LCM(408, 208) = 10608

GCD(408, 208) = ( 408 x 208 ) / 10608

= 408 / 208

= 408

Step2:

LCM(8, 43) = 344

GCD(8, 43) = ( 8 x 43 ) / 344

= 8 / 43

= 8

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 408, 208, 43, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 576, 65, 210
• GCD of 841, 523, 95, 552
• GCD of 371, 686, 58, 891
• GCD of 195, 598, 48, 471
• GCD of 795, 103, 22, 719

Given numbers are 408, 208, 43, 361
The greatest common divisor of numbers 408, 208, 43, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 208, 43, 361 is 1.

1. What is the GCD of 408, 208, 43, 361?

GCD of given numbers 408, 208, 43, 361 is 1

2. How to calculate the greatest common divisor of 408, 208, 43, 361?

We can find the highest common divisor of 408, 208, 43, 361 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 408, 208, 43, 361 i.e 1.

3. How can I use the GCD of 408, 208, 43, 361Calculator?

Out the numbers 408, 208, 43, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.