GCD of 408, 543, 74, 688 Calculator

Given Input numbers are 408, 543, 74, 688

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 408, 543, 74, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 543, 74, 688 is 1.

Therefore, GCD of numbers 408, 543, 74, 688 is 1

Given Input Data is 408, 543, 74, 688

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 543 is 3 x 181

Prime Factorization of 74 is 2 x 37

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(408, 543) = 73848

GCD(408, 543) = ( 408 x 543 ) / 73848

GCD(408, 543) = 221544 / 73848

GCD(408, 543) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 408, 543, 74, 688 is 1

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1. What is the GCD of 408, 543, 74, 688?

GCD of 408, 543, 74, 688 is 1

2. Where do I get the detailed procedure to find GCD of 408, 543, 74, 688?

You can find a detailed procedure to find GCD of 408, 543, 74, 688 on our page.

3. How to find GCD of 408, 543, 74, 688 on a calculator?

You can find the GCD of 408, 543, 74, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.