GCD of 423, 153, 77, 563 Calculator

Given Input numbers are 423, 153, 77, 563

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 423, 153, 77, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 153, 77, 563 is 1.

Therefore, GCD of numbers 423, 153, 77, 563 is 1

Given Input Data is 423, 153, 77, 563

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 77 is 7 x 11

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(423, 153) = 7191

GCD(423, 153) = ( 423 x 153 ) / 7191

GCD(423, 153) = 64719 / 7191

GCD(423, 153) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 77

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

LCM(9, 77) = 693

GCD(9, 77) = ( 9 x 77 ) / 693

GCD(9, 77) = 693 / 693

GCD(9, 77) = 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 423, 153, 77, 563 is 1

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1. What is the GCD of 423, 153, 77, 563?

GCD of 423, 153, 77, 563 is 1

2. Where do I get the detailed procedure to find GCD of 423, 153, 77, 563?

You can find a detailed procedure to find GCD of 423, 153, 77, 563 on our page.

3. How to find GCD of 423, 153, 77, 563 on a calculator?

You can find the GCD of 423, 153, 77, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.