GCD of 782, 182, 45, 628 Calculator

Given Input numbers are 782, 182, 45, 628

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 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 782, 182, 45, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 182, 45, 628 is 1.

Therefore, GCD of numbers 782, 182, 45, 628 is 1

Given Input Data is 782, 182, 45, 628

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 182 is 2 x 7 x 13

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 628 is 2 x 2 x 157

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, 182) = 71162

GCD(782, 182) = ( 782 x 182 ) / 71162

GCD(782, 182) = 142324 / 71162

GCD(782, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 782, 182, 45, 628 is 1

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• GCD of 433, 146, 74, 127
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1. What is the GCD of 782, 182, 45, 628?

GCD of 782, 182, 45, 628 is 1

2. Where do I get the detailed procedure to find GCD of 782, 182, 45, 628?

You can find a detailed procedure to find GCD of 782, 182, 45, 628 on our page.

3. How to find GCD of 782, 182, 45, 628 on a calculator?

You can find the GCD of 782, 182, 45, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.