GCD of 209, 208, 735, 381 Calculator

Given Input numbers are 209, 208, 735, 381

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 381 :

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

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (209, 208, 735, 381) = 1.

Given numbers are 209, 208, 735, 381

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

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

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 381 are 3 x 127

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

Given numbers are 209, 208, 735, 381

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

Apply this formula for all numbers.

Step1:

LCM(209, 208) = 43472

GCD(209, 208) = ( 209 x 208 ) / 43472

= 209 / 208

= 209

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

= 1 / 381

= 1

So, Greatest Common Divisor of 209, 208, 735, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 393, 222, 298
• GCD of 350, 678, 750, 113
• GCD of 109, 993, 377, 484
• GCD of 191, 292, 209, 783
• GCD of 501, 342, 292, 824

Given numbers are 209, 208, 735, 381
The greatest common divisor of numbers 209, 208, 735, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 208, 735, 381 is 1.

1. What is the GCD of 209, 208, 735, 381?

GCD of given numbers 209, 208, 735, 381 is 1

2. How to calculate the greatest common divisor of 209, 208, 735, 381?

We can find the highest common divisor of 209, 208, 735, 381 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 209, 208, 735, 381 i.e 1.

3. How can I use the GCD of 209, 208, 735, 381Calculator?

Out the numbers 209, 208, 735, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.