GCD of 541, 689, 323, 252 Calculator

Given Input numbers are 541, 689, 323, 252

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

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 541, 689, 323, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 541, 689, 323, 252 is 1.

Therefore, GCD of numbers 541, 689, 323, 252 is 1

Given Input Data is 541, 689, 323, 252

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

Prime Factorization of 541 is 541

Prime Factorization of 689 is 13 x 53

Prime Factorization of 323 is 17 x 19

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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(541, 689) = 372749

GCD(541, 689) = ( 541 x 689 ) / 372749

GCD(541, 689) = 372749 / 372749

GCD(541, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 541, 689, 323, 252 is 1

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1. What is the GCD of 541, 689, 323, 252?

GCD of 541, 689, 323, 252 is 1

2. Where do I get the detailed procedure to find GCD of 541, 689, 323, 252?

You can find a detailed procedure to find GCD of 541, 689, 323, 252 on our page.

3. How to find GCD of 541, 689, 323, 252 on a calculator?

You can find the GCD of 541, 689, 323, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.