GCD of 563, 649, 407, 341 Calculator

Given Input numbers are 563, 649, 407, 341

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

Divisors of 563

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

1, 563

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 563, 649, 407, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 649, 407, 341 is 1.

Therefore, GCD of numbers 563, 649, 407, 341 is 1

Given Input Data is 563, 649, 407, 341

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

Prime Factorization of 563 is 563

Prime Factorization of 649 is 11 x 59

Prime Factorization of 407 is 11 x 37

Prime Factorization of 341 is 11 x 31

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(563, 649) = 365387

GCD(563, 649) = ( 563 x 649 ) / 365387

GCD(563, 649) = 365387 / 365387

GCD(563, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 563, 649, 407, 341 is 1

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• GCD of 899, 973, 728, 293
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1. What is the GCD of 563, 649, 407, 341?

GCD of 563, 649, 407, 341 is 1

2. Where do I get the detailed procedure to find GCD of 563, 649, 407, 341?

You can find a detailed procedure to find GCD of 563, 649, 407, 341 on our page.

3. How to find GCD of 563, 649, 407, 341 on a calculator?

You can find the GCD of 563, 649, 407, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.