GCD of 268, 643, 80, 828 Calculator

Given Input numbers are 268, 643, 80, 828

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 268, 643, 80, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 643, 80, 828 is 1.

Therefore, GCD of numbers 268, 643, 80, 828 is 1

Given Input Data is 268, 643, 80, 828

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 643 is 643

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(268, 643) = 172324

GCD(268, 643) = ( 268 x 643 ) / 172324

GCD(268, 643) = 172324 / 172324

GCD(268, 643) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 268, 643, 80, 828 is 1

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1. What is the GCD of 268, 643, 80, 828?

GCD of 268, 643, 80, 828 is 1

2. Where do I get the detailed procedure to find GCD of 268, 643, 80, 828?

You can find a detailed procedure to find GCD of 268, 643, 80, 828 on our page.

3. How to find GCD of 268, 643, 80, 828 on a calculator?

You can find the GCD of 268, 643, 80, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.