GCD of 109, 697, 422, 900 Calculator

Given Input numbers are 109, 697, 422, 900

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (109, 697, 422, 900) = 1.

Given numbers are 109, 697, 422, 900

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 697 are 17 x 41

Prime factors of 422 are 2 x 211

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 109, 697, 422, 900

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

Apply this formula for all numbers.

Step1:

LCM(109, 697) = 75973

GCD(109, 697) = ( 109 x 697 ) / 75973

= 109 / 697

= 109

Step2:

LCM(1, 422) = 422

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

= 1 / 422

= 1

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 109, 697, 422, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 284, 738, 730
• GCD of 285, 925, 547, 886
• GCD of 195, 177, 957, 864
• GCD of 854, 763, 859, 977
• GCD of 100, 397, 418, 427

Given numbers are 109, 697, 422, 900
The greatest common divisor of numbers 109, 697, 422, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 697, 422, 900 is 1.

1. What is the GCD of 109, 697, 422, 900?

GCD of given numbers 109, 697, 422, 900 is 1

2. How to calculate the greatest common divisor of 109, 697, 422, 900?

We can find the highest common divisor of 109, 697, 422, 900 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 109, 697, 422, 900 i.e 1.

3. How can I use the GCD of 109, 697, 422, 900Calculator?

Out the numbers 109, 697, 422, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.