GCD of 736, 850, 23, 982 Calculator

Given Input numbers are 736, 850, 23, 982

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 736, 850, 23, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 850, 23, 982 is 1.

Therefore, GCD of numbers 736, 850, 23, 982 is 1

Given Input Data is 736, 850, 23, 982

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 23 is 23

Prime Factorization of 982 is 2 x 491

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(736, 850) = 312800

GCD(736, 850) = ( 736 x 850 ) / 312800

GCD(736, 850) = 625600 / 312800

GCD(736, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 736, 850, 23, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 579, 46, 385
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• GCD of 508, 965, 23, 686
• GCD of 909, 277, 62, 758

1. What is the GCD of 736, 850, 23, 982?

GCD of 736, 850, 23, 982 is 1

2. Where do I get the detailed procedure to find GCD of 736, 850, 23, 982?

You can find a detailed procedure to find GCD of 736, 850, 23, 982 on our page.

3. How to find GCD of 736, 850, 23, 982 on a calculator?

You can find the GCD of 736, 850, 23, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.