GCD of 640, 838, 861, 452 Calculator

Given Input numbers are 640, 838, 861, 452

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 640, 838, 861, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 838, 861, 452 is 1.

Therefore, GCD of numbers 640, 838, 861, 452 is 1

Given Input Data is 640, 838, 861, 452

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 838 is 2 x 419

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 452 is 2 x 2 x 113

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(640, 838) = 268160

GCD(640, 838) = ( 640 x 838 ) / 268160

GCD(640, 838) = 536320 / 268160

GCD(640, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 861

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

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

GCD(2, 861) = 1722 / 1722

GCD(2, 861) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 640, 838, 861, 452 is 1

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1. What is the GCD of 640, 838, 861, 452?

GCD of 640, 838, 861, 452 is 1

2. Where do I get the detailed procedure to find GCD of 640, 838, 861, 452?

You can find a detailed procedure to find GCD of 640, 838, 861, 452 on our page.

3. How to find GCD of 640, 838, 861, 452 on a calculator?

You can find the GCD of 640, 838, 861, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.