GCD of 807, 900, 316, 412 Calculator

Given Input numbers are 807, 900, 316, 412

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 807, 900, 316, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 900, 316, 412 is 1.

Therefore, GCD of numbers 807, 900, 316, 412 is 1

Given Input Data is 807, 900, 316, 412

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 807 is 3 x 269

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 412 is 2 x 2 x 103

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(807, 900) = 242100

GCD(807, 900) = ( 807 x 900 ) / 242100

GCD(807, 900) = 726300 / 242100

GCD(807, 900) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 316

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

LCM(3, 316) = 948

GCD(3, 316) = ( 3 x 316 ) / 948

GCD(3, 316) = 948 / 948

GCD(3, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 807, 900, 316, 412 is 1

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1. What is the GCD of 807, 900, 316, 412?

GCD of 807, 900, 316, 412 is 1

2. Where do I get the detailed procedure to find GCD of 807, 900, 316, 412?

You can find a detailed procedure to find GCD of 807, 900, 316, 412 on our page.

3. How to find GCD of 807, 900, 316, 412 on a calculator?

You can find the GCD of 807, 900, 316, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.