GCD of 585, 672, 451, 706 Calculator

Given Input numbers are 585, 672, 451, 706

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 585, 672, 451, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 672, 451, 706 is 1.

Therefore, GCD of numbers 585, 672, 451, 706 is 1

Given Input Data is 585, 672, 451, 706

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 451 is 11 x 41

Prime Factorization of 706 is 2 x 353

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(585, 672) = 131040

GCD(585, 672) = ( 585 x 672 ) / 131040

GCD(585, 672) = 393120 / 131040

GCD(585, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 451

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

LCM(3, 451) = 1353

GCD(3, 451) = ( 3 x 451 ) / 1353

GCD(3, 451) = 1353 / 1353

GCD(3, 451) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 585, 672, 451, 706 is 1

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• GCD of 500, 413, 762, 529
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• GCD of 974, 243, 984, 902

1. What is the GCD of 585, 672, 451, 706?

GCD of 585, 672, 451, 706 is 1

2. Where do I get the detailed procedure to find GCD of 585, 672, 451, 706?

You can find a detailed procedure to find GCD of 585, 672, 451, 706 on our page.

3. How to find GCD of 585, 672, 451, 706 on a calculator?

You can find the GCD of 585, 672, 451, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.