GCD of 46, 644, 211, 698 Calculator

Given Input numbers are 46, 644, 211, 698

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 46, 644, 211, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 644, 211, 698 is 1.

Therefore, GCD of numbers 46, 644, 211, 698 is 1

Given Input Data is 46, 644, 211, 698

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

Prime Factorization of 46 is 2 x 23

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

Prime Factorization of 211 is 211

Prime Factorization of 698 is 2 x 349

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(46, 644) = 644

GCD(46, 644) = ( 46 x 644 ) / 644

GCD(46, 644) = 29624 / 644

GCD(46, 644) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 211

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

LCM(46, 211) = 9706

GCD(46, 211) = ( 46 x 211 ) / 9706

GCD(46, 211) = 9706 / 9706

GCD(46, 211) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 46, 644, 211, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 724, 430, 300
• GCD of 38, 393, 532, 971
• GCD of 47, 177, 763, 629
• GCD of 41, 434, 177, 397
• GCD of 44, 119, 939, 379

1. What is the GCD of 46, 644, 211, 698?

GCD of 46, 644, 211, 698 is 1

2. Where do I get the detailed procedure to find GCD of 46, 644, 211, 698?

You can find a detailed procedure to find GCD of 46, 644, 211, 698 on our page.

3. How to find GCD of 46, 644, 211, 698 on a calculator?

You can find the GCD of 46, 644, 211, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.