GCD of 785, 689, 22, 650 Calculator

Given Input numbers are 785, 689, 22, 650

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 689

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

1, 13, 53, 689

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 785, 689, 22, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 689, 22, 650 is 1.

Therefore, GCD of numbers 785, 689, 22, 650 is 1

Given Input Data is 785, 689, 22, 650

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 689 is 13 x 53

Prime Factorization of 22 is 2 x 11

Prime Factorization of 650 is 2 x 5 x 5 x 13

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(785, 689) = 540865

GCD(785, 689) = ( 785 x 689 ) / 540865

GCD(785, 689) = 540865 / 540865

GCD(785, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 785, 689, 22, 650 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 549, 77, 559
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• GCD of 946, 776, 89, 355
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• GCD of 543, 126, 55, 595

1. What is the GCD of 785, 689, 22, 650?

GCD of 785, 689, 22, 650 is 1

2. Where do I get the detailed procedure to find GCD of 785, 689, 22, 650?

You can find a detailed procedure to find GCD of 785, 689, 22, 650 on our page.

3. How to find GCD of 785, 689, 22, 650 on a calculator?

You can find the GCD of 785, 689, 22, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.