GCD of 695, 150, 755, 774 Calculator

Given Input numbers are 695, 150, 755, 774

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

Divisors of 695

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

1, 5, 139, 695

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 755

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

1, 5, 151, 755

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 695, 150, 755, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 150, 755, 774 is 1.

Therefore, GCD of numbers 695, 150, 755, 774 is 1

Given Input Data is 695, 150, 755, 774

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 755 is 5 x 151

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(695, 150) = 20850

GCD(695, 150) = ( 695 x 150 ) / 20850

GCD(695, 150) = 104250 / 20850

GCD(695, 150) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 755

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

LCM(5, 755) = 755

GCD(5, 755) = ( 5 x 755 ) / 755

GCD(5, 755) = 3775 / 755

GCD(5, 755) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 774

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

LCM(5, 774) = 3870

GCD(5, 774) = ( 5 x 774 ) / 3870

GCD(5, 774) = 3870 / 3870

GCD(5, 774) = 1

GCD of 695, 150, 755, 774 is 1

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1. What is the GCD of 695, 150, 755, 774?

GCD of 695, 150, 755, 774 is 1

2. Where do I get the detailed procedure to find GCD of 695, 150, 755, 774?

You can find a detailed procedure to find GCD of 695, 150, 755, 774 on our page.

3. How to find GCD of 695, 150, 755, 774 on a calculator?

You can find the GCD of 695, 150, 755, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.