GCD of 675, 560, 329, 421 Calculator

Given Input numbers are 675, 560, 329, 421

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 675, 560, 329, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 560, 329, 421 is 1.

Therefore, GCD of numbers 675, 560, 329, 421 is 1

Given Input Data is 675, 560, 329, 421

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 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 329 is 7 x 47

Prime Factorization of 421 is 421

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, 560) = 75600

GCD(675, 560) = ( 675 x 560 ) / 75600

GCD(675, 560) = 378000 / 75600

GCD(675, 560) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 329

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

LCM(5, 329) = 1645

GCD(5, 329) = ( 5 x 329 ) / 1645

GCD(5, 329) = 1645 / 1645

GCD(5, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 675, 560, 329, 421 is 1

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1. What is the GCD of 675, 560, 329, 421?

GCD of 675, 560, 329, 421 is 1

2. Where do I get the detailed procedure to find GCD of 675, 560, 329, 421?

You can find a detailed procedure to find GCD of 675, 560, 329, 421 on our page.

3. How to find GCD of 675, 560, 329, 421 on a calculator?

You can find the GCD of 675, 560, 329, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.