GCD of 900, 926, 667, 470 Calculator

Given Input numbers are 900, 926, 667, 470

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

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 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

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

Greatest Common Divisior

We found the divisors of 900, 926, 667, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 926, 667, 470 is 1.

Therefore, GCD of numbers 900, 926, 667, 470 is 1

Given Input Data is 900, 926, 667, 470

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

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

Prime Factorization of 926 is 2 x 463

Prime Factorization of 667 is 23 x 29

Prime Factorization of 470 is 2 x 5 x 47

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(900, 926) = 416700

GCD(900, 926) = ( 900 x 926 ) / 416700

GCD(900, 926) = 833400 / 416700

GCD(900, 926) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 900, 926, 667, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 123, 159, 478
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• GCD of 889, 154, 680, 838
• GCD of 421, 644, 806, 835
• GCD of 762, 509, 316, 473

1. What is the GCD of 900, 926, 667, 470?

GCD of 900, 926, 667, 470 is 1

2. Where do I get the detailed procedure to find GCD of 900, 926, 667, 470?

You can find a detailed procedure to find GCD of 900, 926, 667, 470 on our page.

3. How to find GCD of 900, 926, 667, 470 on a calculator?

You can find the GCD of 900, 926, 667, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.