GCD of 504, 917, 370, 669 Calculator

Given Input numbers are 504, 917, 370, 669

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

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 504, 917, 370, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 917, 370, 669 is 1.

Therefore, GCD of numbers 504, 917, 370, 669 is 1

Given Input Data is 504, 917, 370, 669

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 917 is 7 x 131

Prime Factorization of 370 is 2 x 5 x 37

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(504, 917) = 66024

GCD(504, 917) = ( 504 x 917 ) / 66024

GCD(504, 917) = 462168 / 66024

GCD(504, 917) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 370

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

LCM(7, 370) = 2590

GCD(7, 370) = ( 7 x 370 ) / 2590

GCD(7, 370) = 2590 / 2590

GCD(7, 370) = 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 504, 917, 370, 669 is 1

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1. What is the GCD of 504, 917, 370, 669?

GCD of 504, 917, 370, 669 is 1

2. Where do I get the detailed procedure to find GCD of 504, 917, 370, 669?

You can find a detailed procedure to find GCD of 504, 917, 370, 669 on our page.

3. How to find GCD of 504, 917, 370, 669 on a calculator?

You can find the GCD of 504, 917, 370, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.