GCD of 208, 420, 349, 205 Calculator

Given Input numbers are 208, 420, 349, 205

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

GCD of numbers is the greatest common divisor

So, the GCD (208, 420, 349, 205) = 1.

Given numbers are 208, 420, 349, 205

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 349 are 349

Prime factors of 205 are 5 x 41

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

Given numbers are 208, 420, 349, 205

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

Apply this formula for all numbers.

Step1:

LCM(208, 420) = 21840

GCD(208, 420) = ( 208 x 420 ) / 21840

= 208 / 420

= 208

Step2:

LCM(4, 349) = 1396

GCD(4, 349) = ( 4 x 349 ) / 1396

= 4 / 349

= 4

Step3:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

So, Greatest Common Divisor of 208, 420, 349, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 106, 789, 327
• GCD of 971, 330, 343, 343
• GCD of 948, 101, 763, 990
• GCD of 584, 274, 587, 415
• GCD of 355, 230, 781, 689

Given numbers are 208, 420, 349, 205
The greatest common divisor of numbers 208, 420, 349, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 420, 349, 205 is 1.

1. What is the GCD of 208, 420, 349, 205?

GCD of given numbers 208, 420, 349, 205 is 1

2. How to calculate the greatest common divisor of 208, 420, 349, 205?

We can find the highest common divisor of 208, 420, 349, 205 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, 420, 349, 205 i.e 1.

3. How can I use the GCD of 208, 420, 349, 205Calculator?

Out the numbers 208, 420, 349, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.