GCD of 693, 410, 71, 956 Calculator

Given Input numbers are 693, 410, 71, 956

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 693, 410, 71, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 410, 71, 956 is 1.

Therefore, GCD of numbers 693, 410, 71, 956 is 1

Given Input Data is 693, 410, 71, 956

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 71 is 71

Prime Factorization of 956 is 2 x 2 x 239

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(693, 410) = 284130

GCD(693, 410) = ( 693 x 410 ) / 284130

GCD(693, 410) = 284130 / 284130

GCD(693, 410) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 693, 410, 71, 956 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 324, 26, 687
• GCD of 619, 840, 11, 363
• GCD of 361, 313, 41, 557
• GCD of 565, 870, 37, 567
• GCD of 223, 942, 19, 315

1. What is the GCD of 693, 410, 71, 956?

GCD of 693, 410, 71, 956 is 1

2. Where do I get the detailed procedure to find GCD of 693, 410, 71, 956?

You can find a detailed procedure to find GCD of 693, 410, 71, 956 on our page.

3. How to find GCD of 693, 410, 71, 956 on a calculator?

You can find the GCD of 693, 410, 71, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.