GCD of 985, 300, 122, 644 Calculator

Given Input numbers are 985, 300, 122, 644

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

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 985, 300, 122, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 300, 122, 644 is 1.

Therefore, GCD of numbers 985, 300, 122, 644 is 1

Given Input Data is 985, 300, 122, 644

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

Prime Factorization of 985 is 5 x 197

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 122 is 2 x 61

Prime Factorization of 644 is 2 x 2 x 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(985, 300) = 59100

GCD(985, 300) = ( 985 x 300 ) / 59100

GCD(985, 300) = 295500 / 59100

GCD(985, 300) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 122

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

LCM(5, 122) = 610

GCD(5, 122) = ( 5 x 122 ) / 610

GCD(5, 122) = 610 / 610

GCD(5, 122) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 985, 300, 122, 644 is 1

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1. What is the GCD of 985, 300, 122, 644?

GCD of 985, 300, 122, 644 is 1

2. Where do I get the detailed procedure to find GCD of 985, 300, 122, 644?

You can find a detailed procedure to find GCD of 985, 300, 122, 644 on our page.

3. How to find GCD of 985, 300, 122, 644 on a calculator?

You can find the GCD of 985, 300, 122, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.