GCD of 840, 547, 106, 609 Calculator

Given Input numbers are 840, 547, 106, 609

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 840, 547, 106, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 547, 106, 609 is 1.

Therefore, GCD of numbers 840, 547, 106, 609 is 1

Given Input Data is 840, 547, 106, 609

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 547 is 547

Prime Factorization of 106 is 2 x 53

Prime Factorization of 609 is 3 x 7 x 29

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(840, 547) = 459480

GCD(840, 547) = ( 840 x 547 ) / 459480

GCD(840, 547) = 459480 / 459480

GCD(840, 547) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 840, 547, 106, 609 is 1

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1. What is the GCD of 840, 547, 106, 609?

GCD of 840, 547, 106, 609 is 1

2. Where do I get the detailed procedure to find GCD of 840, 547, 106, 609?

You can find a detailed procedure to find GCD of 840, 547, 106, 609 on our page.

3. How to find GCD of 840, 547, 106, 609 on a calculator?

You can find the GCD of 840, 547, 106, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.