GCD of 120, 475, 651, 669 Calculator

Given Input numbers are 120, 475, 651, 669

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 120, 475, 651, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 475, 651, 669 is 1.

Therefore, GCD of numbers 120, 475, 651, 669 is 1

Given Input Data is 120, 475, 651, 669

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 669 is 3 x 223

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(120, 475) = 11400

GCD(120, 475) = ( 120 x 475 ) / 11400

GCD(120, 475) = 57000 / 11400

GCD(120, 475) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 651

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

LCM(5, 651) = 3255

GCD(5, 651) = ( 5 x 651 ) / 3255

GCD(5, 651) = 3255 / 3255

GCD(5, 651) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 120, 475, 651, 669 is 1

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• GCD of 723, 560, 205, 657
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1. What is the GCD of 120, 475, 651, 669?

GCD of 120, 475, 651, 669 is 1

2. Where do I get the detailed procedure to find GCD of 120, 475, 651, 669?

You can find a detailed procedure to find GCD of 120, 475, 651, 669 on our page.

3. How to find GCD of 120, 475, 651, 669 on a calculator?

You can find the GCD of 120, 475, 651, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.