GCD of 755, 695, 292, 823 Calculator

Given Input numbers are 755, 695, 292, 823

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 755, 695, 292, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 695, 292, 823 is 1.

Therefore, GCD of numbers 755, 695, 292, 823 is 1

Given Input Data is 755, 695, 292, 823

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 695 is 5 x 139

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 823 is 823

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(755, 695) = 104945

GCD(755, 695) = ( 755 x 695 ) / 104945

GCD(755, 695) = 524725 / 104945

GCD(755, 695) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 292

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

LCM(5, 292) = 1460

GCD(5, 292) = ( 5 x 292 ) / 1460

GCD(5, 292) = 1460 / 1460

GCD(5, 292) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 755, 695, 292, 823 is 1

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1. What is the GCD of 755, 695, 292, 823?

GCD of 755, 695, 292, 823 is 1

2. Where do I get the detailed procedure to find GCD of 755, 695, 292, 823?

You can find a detailed procedure to find GCD of 755, 695, 292, 823 on our page.

3. How to find GCD of 755, 695, 292, 823 on a calculator?

You can find the GCD of 755, 695, 292, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.