GCD of 675, 530, 387, 706 Calculator

Given Input numbers are 675, 530, 387, 706

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 675, 530, 387, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 530, 387, 706 is 1.

Therefore, GCD of numbers 675, 530, 387, 706 is 1

Given Input Data is 675, 530, 387, 706

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 706 is 2 x 353

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(675, 530) = 71550

GCD(675, 530) = ( 675 x 530 ) / 71550

GCD(675, 530) = 357750 / 71550

GCD(675, 530) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 387

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

LCM(5, 387) = 1935

GCD(5, 387) = ( 5 x 387 ) / 1935

GCD(5, 387) = 1935 / 1935

GCD(5, 387) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 675, 530, 387, 706 is 1

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1. What is the GCD of 675, 530, 387, 706?

GCD of 675, 530, 387, 706 is 1

2. Where do I get the detailed procedure to find GCD of 675, 530, 387, 706?

You can find a detailed procedure to find GCD of 675, 530, 387, 706 on our page.

3. How to find GCD of 675, 530, 387, 706 on a calculator?

You can find the GCD of 675, 530, 387, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.