GCD of 697, 833, 400, 871 Calculator

Given Input numbers are 697, 833, 400, 871

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 697, 833, 400, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 833, 400, 871 is 1.

Therefore, GCD of numbers 697, 833, 400, 871 is 1

Given Input Data is 697, 833, 400, 871

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 833 is 7 x 7 x 17

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 871 is 13 x 67

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(697, 833) = 34153

GCD(697, 833) = ( 697 x 833 ) / 34153

GCD(697, 833) = 580601 / 34153

GCD(697, 833) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 400

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

LCM(17, 400) = 6800

GCD(17, 400) = ( 17 x 400 ) / 6800

GCD(17, 400) = 6800 / 6800

GCD(17, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 697, 833, 400, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 272, 762, 164
• GCD of 343, 988, 512, 738
• GCD of 637, 493, 252, 489
• GCD of 109, 414, 992, 231
• GCD of 515, 677, 781, 549

1. What is the GCD of 697, 833, 400, 871?

GCD of 697, 833, 400, 871 is 1

2. Where do I get the detailed procedure to find GCD of 697, 833, 400, 871?

You can find a detailed procedure to find GCD of 697, 833, 400, 871 on our page.

3. How to find GCD of 697, 833, 400, 871 on a calculator?

You can find the GCD of 697, 833, 400, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.