GCD of 925, 706, 83, 723 Calculator

Given Input numbers are 925, 706, 83, 723

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

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 925, 706, 83, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 706, 83, 723 is 1.

Therefore, GCD of numbers 925, 706, 83, 723 is 1

Given Input Data is 925, 706, 83, 723

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 706 is 2 x 353

Prime Factorization of 83 is 83

Prime Factorization of 723 is 3 x 241

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(925, 706) = 653050

GCD(925, 706) = ( 925 x 706 ) / 653050

GCD(925, 706) = 653050 / 653050

GCD(925, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 925, 706, 83, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 351, 31, 472
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• GCD of 802, 945, 68, 729
• GCD of 664, 177, 66, 810

1. What is the GCD of 925, 706, 83, 723?

GCD of 925, 706, 83, 723 is 1

2. Where do I get the detailed procedure to find GCD of 925, 706, 83, 723?

You can find a detailed procedure to find GCD of 925, 706, 83, 723 on our page.

3. How to find GCD of 925, 706, 83, 723 on a calculator?

You can find the GCD of 925, 706, 83, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.