GCD of 145, 695, 84, 774 Calculator

Given Input numbers are 145, 695, 84, 774

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 695

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

1, 5, 139, 695

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 145, 695, 84, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 695, 84, 774 is 1.

Therefore, GCD of numbers 145, 695, 84, 774 is 1

Given Input Data is 145, 695, 84, 774

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 695 is 5 x 139

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(145, 695) = 20155

GCD(145, 695) = ( 145 x 695 ) / 20155

GCD(145, 695) = 100775 / 20155

GCD(145, 695) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 84

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

LCM(5, 84) = 420

GCD(5, 84) = ( 5 x 84 ) / 420

GCD(5, 84) = 420 / 420

GCD(5, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 145, 695, 84, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 504, 38, 852
• GCD of 399, 405, 89, 808
• GCD of 202, 855, 62, 157
• GCD of 758, 185, 15, 226
• GCD of 606, 530, 38, 306

1. What is the GCD of 145, 695, 84, 774?

GCD of 145, 695, 84, 774 is 1

2. Where do I get the detailed procedure to find GCD of 145, 695, 84, 774?

You can find a detailed procedure to find GCD of 145, 695, 84, 774 on our page.

3. How to find GCD of 145, 695, 84, 774 on a calculator?

You can find the GCD of 145, 695, 84, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.