GCD of 82, 856, 745, 292 Calculator

Given Input numbers are 82, 856, 745, 292

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 82, 856, 745, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 856, 745, 292 is 1.

Therefore, GCD of numbers 82, 856, 745, 292 is 1

Given Input Data is 82, 856, 745, 292

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 745 is 5 x 149

Prime Factorization of 292 is 2 x 2 x 73

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, 856) = 35096

GCD(82, 856) = ( 82 x 856 ) / 35096

GCD(82, 856) = 70192 / 35096

GCD(82, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 745

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

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

GCD(2, 745) = 1490 / 1490

GCD(2, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 82, 856, 745, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 624, 624, 396
• GCD of 47, 670, 587, 443
• GCD of 75, 112, 465, 989
• GCD of 74, 873, 852, 921
• GCD of 46, 268, 122, 992

1. What is the GCD of 82, 856, 745, 292?

GCD of 82, 856, 745, 292 is 1

2. Where do I get the detailed procedure to find GCD of 82, 856, 745, 292?

You can find a detailed procedure to find GCD of 82, 856, 745, 292 on our page.

3. How to find GCD of 82, 856, 745, 292 on a calculator?

You can find the GCD of 82, 856, 745, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.