GCD of 682, 850, 741, 529 Calculator

Given Input numbers are 682, 850, 741, 529

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 682, 850, 741, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 850, 741, 529 is 1.

Therefore, GCD of numbers 682, 850, 741, 529 is 1

Given Input Data is 682, 850, 741, 529

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

Prime Factorization of 682 is 2 x 11 x 31

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 529 is 23 x 23

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(682, 850) = 289850

GCD(682, 850) = ( 682 x 850 ) / 289850

GCD(682, 850) = 579700 / 289850

GCD(682, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 741

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

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

GCD(2, 741) = 1482 / 1482

GCD(2, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 682, 850, 741, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 659, 121, 203
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• GCD of 866, 408, 296, 689

1. What is the GCD of 682, 850, 741, 529?

GCD of 682, 850, 741, 529 is 1

2. Where do I get the detailed procedure to find GCD of 682, 850, 741, 529?

You can find a detailed procedure to find GCD of 682, 850, 741, 529 on our page.

3. How to find GCD of 682, 850, 741, 529 on a calculator?

You can find the GCD of 682, 850, 741, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.