GCD of 541, 565, 852, 562 Calculator

Given Input numbers are 541, 565, 852, 562

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 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 541, 565, 852, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 541, 565, 852, 562 is 1.

Therefore, GCD of numbers 541, 565, 852, 562 is 1

Given Input Data is 541, 565, 852, 562

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

Prime Factorization of 541 is 541

Prime Factorization of 565 is 5 x 113

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 562 is 2 x 281

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, 565) = 305665

GCD(541, 565) = ( 541 x 565 ) / 305665

GCD(541, 565) = 305665 / 305665

GCD(541, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 541, 565, 852, 562 is 1

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1. What is the GCD of 541, 565, 852, 562?

GCD of 541, 565, 852, 562 is 1

2. Where do I get the detailed procedure to find GCD of 541, 565, 852, 562?

You can find a detailed procedure to find GCD of 541, 565, 852, 562 on our page.

3. How to find GCD of 541, 565, 852, 562 on a calculator?

You can find the GCD of 541, 565, 852, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.