GCD of 65, 105, 507, 633 Calculator

Given Input numbers are 65, 105, 507, 633

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 65, 105, 507, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 105, 507, 633 is 1.

Therefore, GCD of numbers 65, 105, 507, 633 is 1

Given Input Data is 65, 105, 507, 633

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 633 is 3 x 211

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(65, 105) = 1365

GCD(65, 105) = ( 65 x 105 ) / 1365

GCD(65, 105) = 6825 / 1365

GCD(65, 105) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 507

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

LCM(5, 507) = 2535

GCD(5, 507) = ( 5 x 507 ) / 2535

GCD(5, 507) = 2535 / 2535

GCD(5, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

GCD of 65, 105, 507, 633 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 702, 638, 701
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• GCD of 47, 806, 449, 486
• GCD of 50, 553, 841, 564
• GCD of 55, 417, 538, 805

1. What is the GCD of 65, 105, 507, 633?

GCD of 65, 105, 507, 633 is 1

2. Where do I get the detailed procedure to find GCD of 65, 105, 507, 633?

You can find a detailed procedure to find GCD of 65, 105, 507, 633 on our page.

3. How to find GCD of 65, 105, 507, 633 on a calculator?

You can find the GCD of 65, 105, 507, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.