GCD of 678, 749, 552, 799 Calculator

Given Input numbers are 678, 749, 552, 799

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 678, 749, 552, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 749, 552, 799 is 1.

Therefore, GCD of numbers 678, 749, 552, 799 is 1

Given Input Data is 678, 749, 552, 799

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 749 is 7 x 107

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 799 is 17 x 47

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(678, 749) = 507822

GCD(678, 749) = ( 678 x 749 ) / 507822

GCD(678, 749) = 507822 / 507822

GCD(678, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 678, 749, 552, 799 is 1

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1. What is the GCD of 678, 749, 552, 799?

GCD of 678, 749, 552, 799 is 1

2. Where do I get the detailed procedure to find GCD of 678, 749, 552, 799?

You can find a detailed procedure to find GCD of 678, 749, 552, 799 on our page.

3. How to find GCD of 678, 749, 552, 799 on a calculator?

You can find the GCD of 678, 749, 552, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.