GCD of 688, 533, 369, 734 Calculator

Given Input numbers are 688, 533, 369, 734

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

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 688, 533, 369, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 533, 369, 734 is 1.

Therefore, GCD of numbers 688, 533, 369, 734 is 1

Given Input Data is 688, 533, 369, 734

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

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 734 is 2 x 367

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(688, 533) = 366704

GCD(688, 533) = ( 688 x 533 ) / 366704

GCD(688, 533) = 366704 / 366704

GCD(688, 533) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 688, 533, 369, 734 is 1

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1. What is the GCD of 688, 533, 369, 734?

GCD of 688, 533, 369, 734 is 1

2. Where do I get the detailed procedure to find GCD of 688, 533, 369, 734?

You can find a detailed procedure to find GCD of 688, 533, 369, 734 on our page.

3. How to find GCD of 688, 533, 369, 734 on a calculator?

You can find the GCD of 688, 533, 369, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.