GCD of 23, 268, 525, 722 Calculator

Given Input numbers are 23, 268, 525, 722

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 722

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

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 23, 268, 525, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 268, 525, 722 is 1.

Therefore, GCD of numbers 23, 268, 525, 722 is 1

Given Input Data is 23, 268, 525, 722

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

Prime Factorization of 23 is 23

Prime Factorization of 268 is 2 x 2 x 67

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

Prime Factorization of 722 is 2 x 19 x 19

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(23, 268) = 6164

GCD(23, 268) = ( 23 x 268 ) / 6164

GCD(23, 268) = 6164 / 6164

GCD(23, 268) = 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 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 23, 268, 525, 722 is 1

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• GCD of 29, 467, 411, 560
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• GCD of 74, 103, 841, 467

1. What is the GCD of 23, 268, 525, 722?

GCD of 23, 268, 525, 722 is 1

2. Where do I get the detailed procedure to find GCD of 23, 268, 525, 722?

You can find a detailed procedure to find GCD of 23, 268, 525, 722 on our page.

3. How to find GCD of 23, 268, 525, 722 on a calculator?

You can find the GCD of 23, 268, 525, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.