GCD of 484, 649, 693, 624 Calculator

Given Input numbers are 484, 649, 693, 624

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 484, 649, 693, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 649, 693, 624 is 1.

Therefore, GCD of numbers 484, 649, 693, 624 is 1

Given Input Data is 484, 649, 693, 624

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 649 is 11 x 59

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(484, 649) = 28556

GCD(484, 649) = ( 484 x 649 ) / 28556

GCD(484, 649) = 314116 / 28556

GCD(484, 649) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 693

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

LCM(11, 693) = 693

GCD(11, 693) = ( 11 x 693 ) / 693

GCD(11, 693) = 7623 / 693

GCD(11, 693) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 624

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

LCM(11, 624) = 6864

GCD(11, 624) = ( 11 x 624 ) / 6864

GCD(11, 624) = 6864 / 6864

GCD(11, 624) = 1

GCD of 484, 649, 693, 624 is 1

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1. What is the GCD of 484, 649, 693, 624?

GCD of 484, 649, 693, 624 is 1

2. Where do I get the detailed procedure to find GCD of 484, 649, 693, 624?

You can find a detailed procedure to find GCD of 484, 649, 693, 624 on our page.

3. How to find GCD of 484, 649, 693, 624 on a calculator?

You can find the GCD of 484, 649, 693, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.