GCD of 103, 289, 155, 422 Calculator

Given Input numbers are 103, 289, 155, 422

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

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (103, 289, 155, 422) = 1.

Given numbers are 103, 289, 155, 422

The list of prime factors of all numbers are

Prime factors of 103 are 103

Prime factors of 289 are 17 x 17

Prime factors of 155 are 5 x 31

Prime factors of 422 are 2 x 211

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

Given numbers are 103, 289, 155, 422

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

Apply this formula for all numbers.

Step1:

LCM(103, 289) = 29767

GCD(103, 289) = ( 103 x 289 ) / 29767

= 103 / 289

= 103

Step2:

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

= 1 / 155

= 1

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 103, 289, 155, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 906, 730, 229
• GCD of 639, 700, 114, 866
• GCD of 634, 142, 147, 361
• GCD of 690, 377, 632, 843
• GCD of 523, 444, 664, 168

Given numbers are 103, 289, 155, 422
The greatest common divisor of numbers 103, 289, 155, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 103, 289, 155, 422 is 1.

1. What is the GCD of 103, 289, 155, 422?

GCD of given numbers 103, 289, 155, 422 is 1

2. How to calculate the greatest common divisor of 103, 289, 155, 422?

We can find the highest common divisor of 103, 289, 155, 422 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 103, 289, 155, 422 i.e 1.

3. How can I use the GCD of 103, 289, 155, 422Calculator?

Out the numbers 103, 289, 155, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.