GCD of 70, 900, 806, 474 Calculator

Given Input numbers are 70, 900, 806, 474

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 70, 900, 806, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 900, 806, 474 is 2.

Therefore, GCD of numbers 70, 900, 806, 474 is 2

Given Input Data is 70, 900, 806, 474

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

Prime Factorization of 70 is 2 x 5 x 7

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 474 is 2 x 3 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(70, 900) = 6300

GCD(70, 900) = ( 70 x 900 ) / 6300

GCD(70, 900) = 63000 / 6300

GCD(70, 900) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 806

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

LCM(10, 806) = 4030

GCD(10, 806) = ( 10 x 806 ) / 4030

GCD(10, 806) = 8060 / 4030

GCD(10, 806) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

GCD of 70, 900, 806, 474 is 2

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• GCD of 72, 946, 224, 239
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• GCD of 87, 154, 371, 413

1. What is the GCD of 70, 900, 806, 474?

GCD of 70, 900, 806, 474 is 2

2. Where do I get the detailed procedure to find GCD of 70, 900, 806, 474?

You can find a detailed procedure to find GCD of 70, 900, 806, 474 on our page.

3. How to find GCD of 70, 900, 806, 474 on a calculator?

You can find the GCD of 70, 900, 806, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.