GCD of 144, 689, 840, 722 Calculator

Given Input numbers are 144, 689, 840, 722

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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 722

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

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 144, 689, 840, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 689, 840, 722 is 1.

Therefore, GCD of numbers 144, 689, 840, 722 is 1

Given Input Data is 144, 689, 840, 722

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 689 is 13 x 53

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

Prime Factorization of 722 is 2 x 19 x 19

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(144, 689) = 99216

GCD(144, 689) = ( 144 x 689 ) / 99216

GCD(144, 689) = 99216 / 99216

GCD(144, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 144, 689, 840, 722 is 1

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1. What is the GCD of 144, 689, 840, 722?

GCD of 144, 689, 840, 722 is 1

2. Where do I get the detailed procedure to find GCD of 144, 689, 840, 722?

You can find a detailed procedure to find GCD of 144, 689, 840, 722 on our page.

3. How to find GCD of 144, 689, 840, 722 on a calculator?

You can find the GCD of 144, 689, 840, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.