GCD of 52, 709, 900, 478 Calculator

Given Input numbers are 52, 709, 900, 478

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 52, 709, 900, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 709, 900, 478 is 1.

Therefore, GCD of numbers 52, 709, 900, 478 is 1

Given Input Data is 52, 709, 900, 478

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 709 is 709

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

Prime Factorization of 478 is 2 x 239

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(52, 709) = 36868

GCD(52, 709) = ( 52 x 709 ) / 36868

GCD(52, 709) = 36868 / 36868

GCD(52, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

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

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 52, 709, 900, 478 is 1

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• GCD of 76, 551, 242, 609
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• GCD of 25, 399, 245, 616
• GCD of 22, 955, 193, 838
• GCD of 15, 264, 150, 632

1. What is the GCD of 52, 709, 900, 478?

GCD of 52, 709, 900, 478 is 1

2. Where do I get the detailed procedure to find GCD of 52, 709, 900, 478?

You can find a detailed procedure to find GCD of 52, 709, 900, 478 on our page.

3. How to find GCD of 52, 709, 900, 478 on a calculator?

You can find the GCD of 52, 709, 900, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.