GCD of 730, 874, 160, 669 Calculator

Given Input numbers are 730, 874, 160, 669

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 730, 874, 160, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 874, 160, 669 is 1.

Therefore, GCD of numbers 730, 874, 160, 669 is 1

Given Input Data is 730, 874, 160, 669

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(730, 874) = 319010

GCD(730, 874) = ( 730 x 874 ) / 319010

GCD(730, 874) = 638020 / 319010

GCD(730, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 669

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

LCM(2, 669) = 1338

GCD(2, 669) = ( 2 x 669 ) / 1338

GCD(2, 669) = 1338 / 1338

GCD(2, 669) = 1

GCD of 730, 874, 160, 669 is 1

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1. What is the GCD of 730, 874, 160, 669?

GCD of 730, 874, 160, 669 is 1

2. Where do I get the detailed procedure to find GCD of 730, 874, 160, 669?

You can find a detailed procedure to find GCD of 730, 874, 160, 669 on our page.

3. How to find GCD of 730, 874, 160, 669 on a calculator?

You can find the GCD of 730, 874, 160, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.