GCD of 675, 351, 520, 660 Calculator

Given Input numbers are 675, 351, 520, 660

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 675, 351, 520, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 351, 520, 660 is 1.

Therefore, GCD of numbers 675, 351, 520, 660 is 1

Given Input Data is 675, 351, 520, 660

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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, 351) = 8775

GCD(675, 351) = ( 675 x 351 ) / 8775

GCD(675, 351) = 236925 / 8775

GCD(675, 351) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 520

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

LCM(27, 520) = 14040

GCD(27, 520) = ( 27 x 520 ) / 14040

GCD(27, 520) = 14040 / 14040

GCD(27, 520) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 675, 351, 520, 660 is 1

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• GCD of 693, 750, 481, 229
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• GCD of 227, 610, 848, 873

1. What is the GCD of 675, 351, 520, 660?

GCD of 675, 351, 520, 660 is 1

2. Where do I get the detailed procedure to find GCD of 675, 351, 520, 660?

You can find a detailed procedure to find GCD of 675, 351, 520, 660 on our page.

3. How to find GCD of 675, 351, 520, 660 on a calculator?

You can find the GCD of 675, 351, 520, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.