GCD of 900, 790, 422, 353 Calculator

Given Input numbers are 900, 790, 422, 353

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

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

GCD of numbers is the greatest common divisor

So, the GCD (900, 790, 422, 353) = 1.

Given numbers are 900, 790, 422, 353

The list of prime factors of all numbers are

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

Prime factors of 790 are 2 x 5 x 79

Prime factors of 422 are 2 x 211

Prime factors of 353 are 353

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

Given numbers are 900, 790, 422, 353

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

Apply this formula for all numbers.

Step1:

LCM(900, 790) = 71100

GCD(900, 790) = ( 900 x 790 ) / 71100

= 900 / 790

= 900

Step2:

LCM(10, 422) = 2110

GCD(10, 422) = ( 10 x 422 ) / 2110

= 10 / 422

= 10

Step3:

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

= 2 / 353

= 2

So, Greatest Common Divisor of 900, 790, 422, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 159, 835, 784
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• GCD of 729, 518, 231, 578
• GCD of 973, 142, 450, 209

Given numbers are 900, 790, 422, 353
The greatest common divisor of numbers 900, 790, 422, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 790, 422, 353 is 1.

1. What is the GCD of 900, 790, 422, 353?

GCD of given numbers 900, 790, 422, 353 is 1

2. How to calculate the greatest common divisor of 900, 790, 422, 353?

We can find the highest common divisor of 900, 790, 422, 353 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 900, 790, 422, 353 i.e 1.

3. How can I use the GCD of 900, 790, 422, 353Calculator?

Out the numbers 900, 790, 422, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.