GCD of 208, 585, 565, 838 Calculator

Given Input numbers are 208, 585, 565, 838

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (208, 585, 565, 838) = 1.

Given numbers are 208, 585, 565, 838

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 585 are 3 x 3 x 5 x 13

Prime factors of 565 are 5 x 113

Prime factors of 838 are 2 x 419

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

Given numbers are 208, 585, 565, 838

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

Apply this formula for all numbers.

Step1:

LCM(208, 585) = 9360

GCD(208, 585) = ( 208 x 585 ) / 9360

= 208 / 585

= 208

Step2:

LCM(13, 565) = 7345

GCD(13, 565) = ( 13 x 565 ) / 7345

= 13 / 565

= 13

Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

So, Greatest Common Divisor of 208, 585, 565, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 741, 353, 685
• GCD of 660, 704, 385, 312
• GCD of 898, 466, 802, 298
• GCD of 633, 198, 779, 202
• GCD of 803, 114, 145, 318

Given numbers are 208, 585, 565, 838
The greatest common divisor of numbers 208, 585, 565, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 585, 565, 838 is 1.

1. What is the GCD of 208, 585, 565, 838?

GCD of given numbers 208, 585, 565, 838 is 1

2. How to calculate the greatest common divisor of 208, 585, 565, 838?

We can find the highest common divisor of 208, 585, 565, 838 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, 585, 565, 838 i.e 1.

3. How can I use the GCD of 208, 585, 565, 838Calculator?

Out the numbers 208, 585, 565, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.