GCD of 82, 704, 587, 758 Calculator

Given Input numbers are 82, 704, 587, 758

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 82, 704, 587, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 704, 587, 758 is 1.

Therefore, GCD of numbers 82, 704, 587, 758 is 1

Given Input Data is 82, 704, 587, 758

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 587 is 587

Prime Factorization of 758 is 2 x 379

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(82, 704) = 28864

GCD(82, 704) = ( 82 x 704 ) / 28864

GCD(82, 704) = 57728 / 28864

GCD(82, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 587

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

LCM(2, 587) = 1174

GCD(2, 587) = ( 2 x 587 ) / 1174

GCD(2, 587) = 1174 / 1174

GCD(2, 587) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 82, 704, 587, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 919, 146, 780
• GCD of 24, 616, 864, 388
• GCD of 31, 286, 149, 262
• GCD of 48, 668, 160, 757
• GCD of 29, 968, 679, 104

1. What is the GCD of 82, 704, 587, 758?

GCD of 82, 704, 587, 758 is 1

2. Where do I get the detailed procedure to find GCD of 82, 704, 587, 758?

You can find a detailed procedure to find GCD of 82, 704, 587, 758 on our page.

3. How to find GCD of 82, 704, 587, 758 on a calculator?

You can find the GCD of 82, 704, 587, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.