GCD of 543, 362, 90, 340 Calculator

Given Input numbers are 543, 362, 90, 340

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

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 543, 362, 90, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 362, 90, 340 is 1.

Therefore, GCD of numbers 543, 362, 90, 340 is 1

Given Input Data is 543, 362, 90, 340

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 362 is 2 x 181

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(543, 362) = 1086

GCD(543, 362) = ( 543 x 362 ) / 1086

GCD(543, 362) = 196566 / 1086

GCD(543, 362) = 181

Step2:

Here we consider the GCD from the above i.e. 181 as first number and the next as 90

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

LCM(181, 90) = 16290

GCD(181, 90) = ( 181 x 90 ) / 16290

GCD(181, 90) = 16290 / 16290

GCD(181, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 543, 362, 90, 340 is 1

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1. What is the GCD of 543, 362, 90, 340?

GCD of 543, 362, 90, 340 is 1

2. Where do I get the detailed procedure to find GCD of 543, 362, 90, 340?

You can find a detailed procedure to find GCD of 543, 362, 90, 340 on our page.

3. How to find GCD of 543, 362, 90, 340 on a calculator?

You can find the GCD of 543, 362, 90, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.