GCD of 458, 648, 672, 693 Calculator

Given Input numbers are 458, 648, 672, 693

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 458, 648, 672, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 648, 672, 693 is 1.

Therefore, GCD of numbers 458, 648, 672, 693 is 1

Given Input Data is 458, 648, 672, 693

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(458, 648) = 148392

GCD(458, 648) = ( 458 x 648 ) / 148392

GCD(458, 648) = 296784 / 148392

GCD(458, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 672

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

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

GCD(2, 672) = 1344 / 672

GCD(2, 672) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

GCD of 458, 648, 672, 693 is 1

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1. What is the GCD of 458, 648, 672, 693?

GCD of 458, 648, 672, 693 is 1

2. Where do I get the detailed procedure to find GCD of 458, 648, 672, 693?

You can find a detailed procedure to find GCD of 458, 648, 672, 693 on our page.

3. How to find GCD of 458, 648, 672, 693 on a calculator?

You can find the GCD of 458, 648, 672, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.