GCD of 208, 338, 90, 171 Calculator

Given Input numbers are 208, 338, 90, 171

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (208, 338, 90, 171) = 1.

Given numbers are 208, 338, 90, 171

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 338 are 2 x 13 x 13

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 208, 338, 90, 171

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

Apply this formula for all numbers.

Step1:

LCM(208, 338) = 2704

GCD(208, 338) = ( 208 x 338 ) / 2704

= 208 / 338

= 208

Step2:

LCM(26, 90) = 1170

GCD(26, 90) = ( 26 x 90 ) / 1170

= 26 / 90

= 26

Step3:

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

= 2 / 171

= 2

So, Greatest Common Divisor of 208, 338, 90, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 333, 98, 952
• GCD of 578, 647, 16, 911
• GCD of 279, 406, 43, 191
• GCD of 349, 597, 37, 153
• GCD of 598, 210, 18, 548

Given numbers are 208, 338, 90, 171
The greatest common divisor of numbers 208, 338, 90, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 338, 90, 171 is 1.

1. What is the GCD of 208, 338, 90, 171?

GCD of given numbers 208, 338, 90, 171 is 1

2. How to calculate the greatest common divisor of 208, 338, 90, 171?

We can find the highest common divisor of 208, 338, 90, 171 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, 338, 90, 171 i.e 1.

3. How can I use the GCD of 208, 338, 90, 171Calculator?

Out the numbers 208, 338, 90, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.