GCD of 208, 438, 577, 135 Calculator

Given Input numbers are 208, 438, 577, 135

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (208, 438, 577, 135) = 1.

Given numbers are 208, 438, 577, 135

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 438 are 2 x 3 x 73

Prime factors of 577 are 577

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 208, 438, 577, 135

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

Apply this formula for all numbers.

Step1:

LCM(208, 438) = 45552

GCD(208, 438) = ( 208 x 438 ) / 45552

= 208 / 438

= 208

Step2:

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

= 2 / 577

= 2

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 208, 438, 577, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 963, 994, 293
• GCD of 664, 258, 986, 840
• GCD of 882, 379, 396, 970
• GCD of 105, 577, 495, 493
• GCD of 998, 717, 653, 744

Given numbers are 208, 438, 577, 135
The greatest common divisor of numbers 208, 438, 577, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 438, 577, 135 is 1.

1. What is the GCD of 208, 438, 577, 135?

GCD of given numbers 208, 438, 577, 135 is 1

2. How to calculate the greatest common divisor of 208, 438, 577, 135?

We can find the highest common divisor of 208, 438, 577, 135 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, 438, 577, 135 i.e 1.

3. How can I use the GCD of 208, 438, 577, 135Calculator?

Out the numbers 208, 438, 577, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.