GCD of 622, 160, 188, 982 Calculator

Given Input numbers are 622, 160, 188, 982

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

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 622, 160, 188, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 160, 188, 982 is 2.

Therefore, GCD of numbers 622, 160, 188, 982 is 2

Given Input Data is 622, 160, 188, 982

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 982 is 2 x 491

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(622, 160) = 49760

GCD(622, 160) = ( 622 x 160 ) / 49760

GCD(622, 160) = 99520 / 49760

GCD(622, 160) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 188

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

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

GCD(2, 188) = 376 / 188

GCD(2, 188) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

GCD of 622, 160, 188, 982 is 2

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1. What is the GCD of 622, 160, 188, 982?

GCD of 622, 160, 188, 982 is 2

2. Where do I get the detailed procedure to find GCD of 622, 160, 188, 982?

You can find a detailed procedure to find GCD of 622, 160, 188, 982 on our page.

3. How to find GCD of 622, 160, 188, 982 on a calculator?

You can find the GCD of 622, 160, 188, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.