GCD of 525, 605, 72, 706 Calculator

Given Input numbers are 525, 605, 72, 706

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

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 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 525, 605, 72, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 605, 72, 706 is 1.

Therefore, GCD of numbers 525, 605, 72, 706 is 1

Given Input Data is 525, 605, 72, 706

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(525, 605) = 63525

GCD(525, 605) = ( 525 x 605 ) / 63525

GCD(525, 605) = 317625 / 63525

GCD(525, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 72

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

LCM(5, 72) = 360

GCD(5, 72) = ( 5 x 72 ) / 360

GCD(5, 72) = 360 / 360

GCD(5, 72) = 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 525, 605, 72, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 781, 10, 309
• GCD of 779, 545, 52, 839
• GCD of 760, 678, 36, 883
• GCD of 837, 390, 10, 367
• GCD of 863, 903, 45, 388

1. What is the GCD of 525, 605, 72, 706?

GCD of 525, 605, 72, 706 is 1

2. Where do I get the detailed procedure to find GCD of 525, 605, 72, 706?

You can find a detailed procedure to find GCD of 525, 605, 72, 706 on our page.

3. How to find GCD of 525, 605, 72, 706 on a calculator?

You can find the GCD of 525, 605, 72, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.