GCD of 782, 709, 473, 749 Calculator

Given Input numbers are 782, 709, 473, 749

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

Divisors of 782

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

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 782, 709, 473, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 709, 473, 749 is 1.

Therefore, GCD of numbers 782, 709, 473, 749 is 1

Given Input Data is 782, 709, 473, 749

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 709 is 709

Prime Factorization of 473 is 11 x 43

Prime Factorization of 749 is 7 x 107

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(782, 709) = 554438

GCD(782, 709) = ( 782 x 709 ) / 554438

GCD(782, 709) = 554438 / 554438

GCD(782, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 782, 709, 473, 749 is 1

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1. What is the GCD of 782, 709, 473, 749?

GCD of 782, 709, 473, 749 is 1

2. Where do I get the detailed procedure to find GCD of 782, 709, 473, 749?

You can find a detailed procedure to find GCD of 782, 709, 473, 749 on our page.

3. How to find GCD of 782, 709, 473, 749 on a calculator?

You can find the GCD of 782, 709, 473, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.