GCD of 563, 143, 91, 338 Calculator

Given Input numbers are 563, 143, 91, 338

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 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 563, 143, 91, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 143, 91, 338 is 1.

Therefore, GCD of numbers 563, 143, 91, 338 is 1

Given Input Data is 563, 143, 91, 338

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

Prime Factorization of 563 is 563

Prime Factorization of 143 is 11 x 13

Prime Factorization of 91 is 7 x 13

Prime Factorization of 338 is 2 x 13 x 13

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, 143) = 80509

GCD(563, 143) = ( 563 x 143 ) / 80509

GCD(563, 143) = 80509 / 80509

GCD(563, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 563, 143, 91, 338 is 1

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1. What is the GCD of 563, 143, 91, 338?

GCD of 563, 143, 91, 338 is 1

2. Where do I get the detailed procedure to find GCD of 563, 143, 91, 338?

You can find a detailed procedure to find GCD of 563, 143, 91, 338 on our page.

3. How to find GCD of 563, 143, 91, 338 on a calculator?

You can find the GCD of 563, 143, 91, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.