GCD of 345, 921, 984, 637 Calculator

Given Input numbers are 345, 921, 984, 637

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 345, 921, 984, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 921, 984, 637 is 1.

Therefore, GCD of numbers 345, 921, 984, 637 is 1

Given Input Data is 345, 921, 984, 637

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 921 is 3 x 307

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 637 is 7 x 7 x 13

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(345, 921) = 105915

GCD(345, 921) = ( 345 x 921 ) / 105915

GCD(345, 921) = 317745 / 105915

GCD(345, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 984

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

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

GCD(3, 984) = 2952 / 984

GCD(3, 984) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 637

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

LCM(3, 637) = 1911

GCD(3, 637) = ( 3 x 637 ) / 1911

GCD(3, 637) = 1911 / 1911

GCD(3, 637) = 1

GCD of 345, 921, 984, 637 is 1

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1. What is the GCD of 345, 921, 984, 637?

GCD of 345, 921, 984, 637 is 1

2. Where do I get the detailed procedure to find GCD of 345, 921, 984, 637?

You can find a detailed procedure to find GCD of 345, 921, 984, 637 on our page.

3. How to find GCD of 345, 921, 984, 637 on a calculator?

You can find the GCD of 345, 921, 984, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.