GCD of 45, 461, 525, 693 Calculator

Given Input numbers are 45, 461, 525, 693

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

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 45, 461, 525, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 461, 525, 693 is 1.

Therefore, GCD of numbers 45, 461, 525, 693 is 1

Given Input Data is 45, 461, 525, 693

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 461 is 461

Prime Factorization of 525 is 3 x 5 x 5 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(45, 461) = 20745

GCD(45, 461) = ( 45 x 461 ) / 20745

GCD(45, 461) = 20745 / 20745

GCD(45, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 45, 461, 525, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 376, 985, 376
• GCD of 96, 896, 949, 867
• GCD of 38, 583, 945, 733
• GCD of 42, 678, 204, 637
• GCD of 46, 350, 449, 420

1. What is the GCD of 45, 461, 525, 693?

GCD of 45, 461, 525, 693 is 1

2. Where do I get the detailed procedure to find GCD of 45, 461, 525, 693?

You can find a detailed procedure to find GCD of 45, 461, 525, 693 on our page.

3. How to find GCD of 45, 461, 525, 693 on a calculator?

You can find the GCD of 45, 461, 525, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.