GCD of 702, 872, 189, 275 Calculator

Given Input numbers are 702, 872, 189, 275

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 702, 872, 189, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 872, 189, 275 is 1.

Therefore, GCD of numbers 702, 872, 189, 275 is 1

Given Input Data is 702, 872, 189, 275

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 275 is 5 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(702, 872) = 306072

GCD(702, 872) = ( 702 x 872 ) / 306072

GCD(702, 872) = 612144 / 306072

GCD(702, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 702, 872, 189, 275 is 1

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1. What is the GCD of 702, 872, 189, 275?

GCD of 702, 872, 189, 275 is 1

2. Where do I get the detailed procedure to find GCD of 702, 872, 189, 275?

You can find a detailed procedure to find GCD of 702, 872, 189, 275 on our page.

3. How to find GCD of 702, 872, 189, 275 on a calculator?

You can find the GCD of 702, 872, 189, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.