GCD of 638, 171, 929, 840 Calculator

Given Input numbers are 638, 171, 929, 840

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 638, 171, 929, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 171, 929, 840 is 1.

Therefore, GCD of numbers 638, 171, 929, 840 is 1

Given Input Data is 638, 171, 929, 840

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 929 is 929

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(638, 171) = 109098

GCD(638, 171) = ( 638 x 171 ) / 109098

GCD(638, 171) = 109098 / 109098

GCD(638, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 638, 171, 929, 840 is 1

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1. What is the GCD of 638, 171, 929, 840?

GCD of 638, 171, 929, 840 is 1

2. Where do I get the detailed procedure to find GCD of 638, 171, 929, 840?

You can find a detailed procedure to find GCD of 638, 171, 929, 840 on our page.

3. How to find GCD of 638, 171, 929, 840 on a calculator?

You can find the GCD of 638, 171, 929, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.