GCD of 149, 462, 71, 822 Calculator

Given Input numbers are 149, 462, 71, 822

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 149, 462, 71, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 462, 71, 822 is 1.

Therefore, GCD of numbers 149, 462, 71, 822 is 1

Given Input Data is 149, 462, 71, 822

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

Prime Factorization of 149 is 149

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 71 is 71

Prime Factorization of 822 is 2 x 3 x 137

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(149, 462) = 68838

GCD(149, 462) = ( 149 x 462 ) / 68838

GCD(149, 462) = 68838 / 68838

GCD(149, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 149, 462, 71, 822 is 1

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• GCD of 597, 329, 28, 832
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1. What is the GCD of 149, 462, 71, 822?

GCD of 149, 462, 71, 822 is 1

2. Where do I get the detailed procedure to find GCD of 149, 462, 71, 822?

You can find a detailed procedure to find GCD of 149, 462, 71, 822 on our page.

3. How to find GCD of 149, 462, 71, 822 on a calculator?

You can find the GCD of 149, 462, 71, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.