GCD of 149, 892, 47, 563 Calculator

Given Input numbers are 149, 892, 47, 563

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 149, 892, 47, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 892, 47, 563 is 1.

Therefore, GCD of numbers 149, 892, 47, 563 is 1

Given Input Data is 149, 892, 47, 563

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

Prime Factorization of 149 is 149

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 47 is 47

Prime Factorization of 563 is 563

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, 892) = 132908

GCD(149, 892) = ( 149 x 892 ) / 132908

GCD(149, 892) = 132908 / 132908

GCD(149, 892) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 149, 892, 47, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 341, 42, 800
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• GCD of 768, 282, 60, 131

1. What is the GCD of 149, 892, 47, 563?

GCD of 149, 892, 47, 563 is 1

2. Where do I get the detailed procedure to find GCD of 149, 892, 47, 563?

You can find a detailed procedure to find GCD of 149, 892, 47, 563 on our page.

3. How to find GCD of 149, 892, 47, 563 on a calculator?

You can find the GCD of 149, 892, 47, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.