GCD of 341, 644, 922, 654 Calculator

Given Input numbers are 341, 644, 922, 654

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

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 341, 644, 922, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 644, 922, 654 is 1.

Therefore, GCD of numbers 341, 644, 922, 654 is 1

Given Input Data is 341, 644, 922, 654

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

Prime Factorization of 341 is 11 x 31

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 654 is 2 x 3 x 109

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(341, 644) = 219604

GCD(341, 644) = ( 341 x 644 ) / 219604

GCD(341, 644) = 219604 / 219604

GCD(341, 644) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 341, 644, 922, 654 is 1

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1. What is the GCD of 341, 644, 922, 654?

GCD of 341, 644, 922, 654 is 1

2. Where do I get the detailed procedure to find GCD of 341, 644, 922, 654?

You can find a detailed procedure to find GCD of 341, 644, 922, 654 on our page.

3. How to find GCD of 341, 644, 922, 654 on a calculator?

You can find the GCD of 341, 644, 922, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.