GCD of 743, 851, 82, 782 Calculator

Given Input numbers are 743, 851, 82, 782

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 82

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

1, 2, 41, 82

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 743, 851, 82, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 851, 82, 782 is 1.

Therefore, GCD of numbers 743, 851, 82, 782 is 1

Given Input Data is 743, 851, 82, 782

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

Prime Factorization of 743 is 743

Prime Factorization of 851 is 23 x 37

Prime Factorization of 82 is 2 x 41

Prime Factorization of 782 is 2 x 17 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(743, 851) = 632293

GCD(743, 851) = ( 743 x 851 ) / 632293

GCD(743, 851) = 632293 / 632293

GCD(743, 851) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 743, 851, 82, 782 is 1

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1. What is the GCD of 743, 851, 82, 782?

GCD of 743, 851, 82, 782 is 1

2. Where do I get the detailed procedure to find GCD of 743, 851, 82, 782?

You can find a detailed procedure to find GCD of 743, 851, 82, 782 on our page.

3. How to find GCD of 743, 851, 82, 782 on a calculator?

You can find the GCD of 743, 851, 82, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.