GCD of 840, 756, 583, 424 Calculator

Given Input numbers are 840, 756, 583, 424

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 840, 756, 583, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 756, 583, 424 is 1.

Therefore, GCD of numbers 840, 756, 583, 424 is 1

Given Input Data is 840, 756, 583, 424

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 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 583 is 11 x 53

Prime Factorization of 424 is 2 x 2 x 2 x 53

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, 756) = 7560

GCD(840, 756) = ( 840 x 756 ) / 7560

GCD(840, 756) = 635040 / 7560

GCD(840, 756) = 84

Step2:

Here we consider the GCD from the above i.e. 84 as first number and the next as 583

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

LCM(84, 583) = 48972

GCD(84, 583) = ( 84 x 583 ) / 48972

GCD(84, 583) = 48972 / 48972

GCD(84, 583) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 840, 756, 583, 424 is 1

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1. What is the GCD of 840, 756, 583, 424?

GCD of 840, 756, 583, 424 is 1

2. Where do I get the detailed procedure to find GCD of 840, 756, 583, 424?

You can find a detailed procedure to find GCD of 840, 756, 583, 424 on our page.

3. How to find GCD of 840, 756, 583, 424 on a calculator?

You can find the GCD of 840, 756, 583, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.