GCD of 84, 542, 643, 365 Calculator

Given Input numbers are 84, 542, 643, 365

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 84, 542, 643, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 542, 643, 365 is 1.

Therefore, GCD of numbers 84, 542, 643, 365 is 1

Given Input Data is 84, 542, 643, 365

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 542 is 2 x 271

Prime Factorization of 643 is 643

Prime Factorization of 365 is 5 x 73

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(84, 542) = 22764

GCD(84, 542) = ( 84 x 542 ) / 22764

GCD(84, 542) = 45528 / 22764

GCD(84, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 643

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

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

GCD(2, 643) = 1286 / 1286

GCD(2, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 84, 542, 643, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 887, 963, 581
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• GCD of 24, 404, 718, 695
• GCD of 43, 163, 208, 480
• GCD of 47, 886, 873, 976

1. What is the GCD of 84, 542, 643, 365?

GCD of 84, 542, 643, 365 is 1

2. Where do I get the detailed procedure to find GCD of 84, 542, 643, 365?

You can find a detailed procedure to find GCD of 84, 542, 643, 365 on our page.

3. How to find GCD of 84, 542, 643, 365 on a calculator?

You can find the GCD of 84, 542, 643, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.