GCD of 722, 892, 36, 465 Calculator

Given Input numbers are 722, 892, 36, 465

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 722, 892, 36, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 892, 36, 465 is 1.

Therefore, GCD of numbers 722, 892, 36, 465 is 1

Given Input Data is 722, 892, 36, 465

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 465 is 3 x 5 x 31

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(722, 892) = 322012

GCD(722, 892) = ( 722 x 892 ) / 322012

GCD(722, 892) = 644024 / 322012

GCD(722, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

GCD of 722, 892, 36, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 572, 62, 829
• GCD of 293, 876, 13, 194
• GCD of 147, 526, 73, 956
• GCD of 255, 527, 30, 713
• GCD of 796, 552, 50, 614

1. What is the GCD of 722, 892, 36, 465?

GCD of 722, 892, 36, 465 is 1

2. Where do I get the detailed procedure to find GCD of 722, 892, 36, 465?

You can find a detailed procedure to find GCD of 722, 892, 36, 465 on our page.

3. How to find GCD of 722, 892, 36, 465 on a calculator?

You can find the GCD of 722, 892, 36, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.