GCD of 644, 101, 82, 753 Calculator

Given Input numbers are 644, 101, 82, 753

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

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 644, 101, 82, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 101, 82, 753 is 1.

Therefore, GCD of numbers 644, 101, 82, 753 is 1

Given Input Data is 644, 101, 82, 753

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 101 is 101

Prime Factorization of 82 is 2 x 41

Prime Factorization of 753 is 3 x 251

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(644, 101) = 65044

GCD(644, 101) = ( 644 x 101 ) / 65044

GCD(644, 101) = 65044 / 65044

GCD(644, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 644, 101, 82, 753 is 1

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1. What is the GCD of 644, 101, 82, 753?

GCD of 644, 101, 82, 753 is 1

2. Where do I get the detailed procedure to find GCD of 644, 101, 82, 753?

You can find a detailed procedure to find GCD of 644, 101, 82, 753 on our page.

3. How to find GCD of 644, 101, 82, 753 on a calculator?

You can find the GCD of 644, 101, 82, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.