GCD of 722, 840, 809, 691 Calculator

Given Input numbers are 722, 840, 809, 691

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 722, 840, 809, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 840, 809, 691 is 1.

Therefore, GCD of numbers 722, 840, 809, 691 is 1

Given Input Data is 722, 840, 809, 691

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 809 is 809

Prime Factorization of 691 is 691

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(722, 840) = 303240

GCD(722, 840) = ( 722 x 840 ) / 303240

GCD(722, 840) = 606480 / 303240

GCD(722, 840) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 809

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

LCM(2, 809) = 1618

GCD(2, 809) = ( 2 x 809 ) / 1618

GCD(2, 809) = 1618 / 1618

GCD(2, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 722, 840, 809, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 737, 142, 791
• GCD of 307, 345, 108, 297
• GCD of 163, 442, 341, 255
• GCD of 477, 352, 735, 218
• GCD of 840, 884, 420, 842

1. What is the GCD of 722, 840, 809, 691?

GCD of 722, 840, 809, 691 is 1

2. Where do I get the detailed procedure to find GCD of 722, 840, 809, 691?

You can find a detailed procedure to find GCD of 722, 840, 809, 691 on our page.

3. How to find GCD of 722, 840, 809, 691 on a calculator?

You can find the GCD of 722, 840, 809, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.