GCD of 722, 542, 96, 525 Calculator

Given Input numbers are 722, 542, 96, 525

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 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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

Greatest Common Divisior

We found the divisors of 722, 542, 96, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 542, 96, 525 is 1.

Therefore, GCD of numbers 722, 542, 96, 525 is 1

Given Input Data is 722, 542, 96, 525

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 542 is 2 x 271

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

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, 542) = 195662

GCD(722, 542) = ( 722 x 542 ) / 195662

GCD(722, 542) = 391324 / 195662

GCD(722, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 525

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

LCM(2, 525) = 1050

GCD(2, 525) = ( 2 x 525 ) / 1050

GCD(2, 525) = 1050 / 1050

GCD(2, 525) = 1

GCD of 722, 542, 96, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 649, 19, 369
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• GCD of 949, 957, 64, 427

1. What is the GCD of 722, 542, 96, 525?

GCD of 722, 542, 96, 525 is 1

2. Where do I get the detailed procedure to find GCD of 722, 542, 96, 525?

You can find a detailed procedure to find GCD of 722, 542, 96, 525 on our page.

3. How to find GCD of 722, 542, 96, 525 on a calculator?

You can find the GCD of 722, 542, 96, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.