GCD of 900, 470, 321, 316 Calculator

Given Input numbers are 900, 470, 321, 316

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (900, 470, 321, 316) = 1.

Given numbers are 900, 470, 321, 316

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 470 are 2 x 5 x 47

Prime factors of 321 are 3 x 107

Prime factors of 316 are 2 x 2 x 79

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

Given numbers are 900, 470, 321, 316

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

Apply this formula for all numbers.

Step1:

LCM(900, 470) = 42300

GCD(900, 470) = ( 900 x 470 ) / 42300

= 900 / 470

= 900

Step2:

LCM(10, 321) = 3210

GCD(10, 321) = ( 10 x 321 ) / 3210

= 10 / 321

= 10

Step3:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1

So, Greatest Common Divisor of 900, 470, 321, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 360, 931, 448
• GCD of 547, 696, 593, 458
• GCD of 157, 468, 671, 163
• GCD of 384, 701, 738, 458
• GCD of 607, 403, 176, 388

Given numbers are 900, 470, 321, 316
The greatest common divisor of numbers 900, 470, 321, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 470, 321, 316 is 1.

1. What is the GCD of 900, 470, 321, 316?

GCD of given numbers 900, 470, 321, 316 is 1

2. How to calculate the greatest common divisor of 900, 470, 321, 316?

We can find the highest common divisor of 900, 470, 321, 316 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, 470, 321, 316 i.e 1.

3. How can I use the GCD of 900, 470, 321, 316Calculator?

Out the numbers 900, 470, 321, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.