GCD of 708, 575, 749, 923 Calculator

Given Input numbers are 708, 575, 749, 923

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 708, 575, 749, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 575, 749, 923 is 1.

Therefore, GCD of numbers 708, 575, 749, 923 is 1

Given Input Data is 708, 575, 749, 923

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 749 is 7 x 107

Prime Factorization of 923 is 13 x 71

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(708, 575) = 407100

GCD(708, 575) = ( 708 x 575 ) / 407100

GCD(708, 575) = 407100 / 407100

GCD(708, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 708, 575, 749, 923 is 1

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1. What is the GCD of 708, 575, 749, 923?

GCD of 708, 575, 749, 923 is 1

2. Where do I get the detailed procedure to find GCD of 708, 575, 749, 923?

You can find a detailed procedure to find GCD of 708, 575, 749, 923 on our page.

3. How to find GCD of 708, 575, 749, 923 on a calculator?

You can find the GCD of 708, 575, 749, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.