GCD of 682, 532, 76, 919 Calculator

Given Input numbers are 682, 532, 76, 919

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 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 682, 532, 76, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 532, 76, 919 is 1.

Therefore, GCD of numbers 682, 532, 76, 919 is 1

Given Input Data is 682, 532, 76, 919

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 532 is 2 x 2 x 7 x 19

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 919 is 919

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, 532) = 181412

GCD(682, 532) = ( 682 x 532 ) / 181412

GCD(682, 532) = 362824 / 181412

GCD(682, 532) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

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

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

GCD of 682, 532, 76, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 295, 91, 940
• GCD of 911, 483, 71, 272
• GCD of 611, 617, 20, 275
• GCD of 946, 506, 92, 160
• GCD of 328, 589, 51, 527

1. What is the GCD of 682, 532, 76, 919?

GCD of 682, 532, 76, 919 is 1

2. Where do I get the detailed procedure to find GCD of 682, 532, 76, 919?

You can find a detailed procedure to find GCD of 682, 532, 76, 919 on our page.

3. How to find GCD of 682, 532, 76, 919 on a calculator?

You can find the GCD of 682, 532, 76, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.