GCD of 722, 745, 600, 293 Calculator

Given Input numbers are 722, 745, 600, 293

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 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 722, 745, 600, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 745, 600, 293 is 1.

Therefore, GCD of numbers 722, 745, 600, 293 is 1

Given Input Data is 722, 745, 600, 293

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 745 is 5 x 149

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 293 is 293

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, 745) = 537890

GCD(722, 745) = ( 722 x 745 ) / 537890

GCD(722, 745) = 537890 / 537890

GCD(722, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 722, 745, 600, 293 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 728, 333, 119
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• GCD of 941, 771, 216, 384

1. What is the GCD of 722, 745, 600, 293?

GCD of 722, 745, 600, 293 is 1

2. Where do I get the detailed procedure to find GCD of 722, 745, 600, 293?

You can find a detailed procedure to find GCD of 722, 745, 600, 293 on our page.

3. How to find GCD of 722, 745, 600, 293 on a calculator?

You can find the GCD of 722, 745, 600, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.