GCD of 208, 390, 311, 561 Calculator

Given Input numbers are 208, 390, 311, 561

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

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (208, 390, 311, 561) = 1.

Given numbers are 208, 390, 311, 561

The list of prime factors of all numbers are

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

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 311 are 311

Prime factors of 561 are 3 x 11 x 17

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

Given numbers are 208, 390, 311, 561

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

Apply this formula for all numbers.

Step1:

LCM(208, 390) = 3120

GCD(208, 390) = ( 208 x 390 ) / 3120

= 208 / 390

= 208

Step2:

LCM(26, 311) = 8086

GCD(26, 311) = ( 26 x 311 ) / 8086

= 26 / 311

= 26

Step3:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

So, Greatest Common Divisor of 208, 390, 311, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 155, 731, 680
• GCD of 482, 430, 899, 602
• GCD of 222, 568, 452, 515
• GCD of 502, 186, 114, 423
• GCD of 726, 642, 608, 510

Given numbers are 208, 390, 311, 561
The greatest common divisor of numbers 208, 390, 311, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 390, 311, 561 is 1.

1. What is the GCD of 208, 390, 311, 561?

GCD of given numbers 208, 390, 311, 561 is 1

2. How to calculate the greatest common divisor of 208, 390, 311, 561?

We can find the highest common divisor of 208, 390, 311, 561 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 208, 390, 311, 561 i.e 1.

3. How can I use the GCD of 208, 390, 311, 561Calculator?

Out the numbers 208, 390, 311, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.