GCD of 563, 814, 334, 753 Calculator

Given Input numbers are 563, 814, 334, 753

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 563, 814, 334, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 814, 334, 753 is 1.

Therefore, GCD of numbers 563, 814, 334, 753 is 1

Given Input Data is 563, 814, 334, 753

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

Prime Factorization of 563 is 563

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 334 is 2 x 167

Prime Factorization of 753 is 3 x 251

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, 814) = 458282

GCD(563, 814) = ( 563 x 814 ) / 458282

GCD(563, 814) = 458282 / 458282

GCD(563, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 563, 814, 334, 753 is 1

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1. What is the GCD of 563, 814, 334, 753?

GCD of 563, 814, 334, 753 is 1

2. Where do I get the detailed procedure to find GCD of 563, 814, 334, 753?

You can find a detailed procedure to find GCD of 563, 814, 334, 753 on our page.

3. How to find GCD of 563, 814, 334, 753 on a calculator?

You can find the GCD of 563, 814, 334, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.