GCD of 782, 436, 292, 161 Calculator

Given Input numbers are 782, 436, 292, 161

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 292

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

1, 2, 4, 73, 146, 292

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 782, 436, 292, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 436, 292, 161 is 1.

Therefore, GCD of numbers 782, 436, 292, 161 is 1

Given Input Data is 782, 436, 292, 161

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 436 is 2 x 2 x 109

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 161 is 7 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(782, 436) = 170476

GCD(782, 436) = ( 782 x 436 ) / 170476

GCD(782, 436) = 340952 / 170476

GCD(782, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 161

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

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

GCD(2, 161) = 322 / 322

GCD(2, 161) = 1

GCD of 782, 436, 292, 161 is 1

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1. What is the GCD of 782, 436, 292, 161?

GCD of 782, 436, 292, 161 is 1

2. Where do I get the detailed procedure to find GCD of 782, 436, 292, 161?

You can find a detailed procedure to find GCD of 782, 436, 292, 161 on our page.

3. How to find GCD of 782, 436, 292, 161 on a calculator?

You can find the GCD of 782, 436, 292, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.