GCD of 72, 413, 553, 761 Calculator

Given Input numbers are 72, 413, 553, 761

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

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 72, 413, 553, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 413, 553, 761 is 1.

Therefore, GCD of numbers 72, 413, 553, 761 is 1

Given Input Data is 72, 413, 553, 761

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

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 553 is 7 x 79

Prime Factorization of 761 is 761

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(72, 413) = 29736

GCD(72, 413) = ( 72 x 413 ) / 29736

GCD(72, 413) = 29736 / 29736

GCD(72, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 72, 413, 553, 761 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 827, 859, 353
• GCD of 46, 450, 602, 577
• GCD of 13, 860, 617, 913
• GCD of 78, 935, 784, 297
• GCD of 38, 585, 999, 445

1. What is the GCD of 72, 413, 553, 761?

GCD of 72, 413, 553, 761 is 1

2. Where do I get the detailed procedure to find GCD of 72, 413, 553, 761?

You can find a detailed procedure to find GCD of 72, 413, 553, 761 on our page.

3. How to find GCD of 72, 413, 553, 761 on a calculator?

You can find the GCD of 72, 413, 553, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.