GCD of 852, 119, 329, 355 Calculator

Given Input numbers are 852, 119, 329, 355

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 329

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

1, 7, 47, 329

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 852, 119, 329, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 119, 329, 355 is 1.

Therefore, GCD of numbers 852, 119, 329, 355 is 1

Given Input Data is 852, 119, 329, 355

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 119 is 7 x 17

Prime Factorization of 329 is 7 x 47

Prime Factorization of 355 is 5 x 71

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(852, 119) = 101388

GCD(852, 119) = ( 852 x 119 ) / 101388

GCD(852, 119) = 101388 / 101388

GCD(852, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 852, 119, 329, 355 is 1

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• GCD of 210, 936, 867, 672
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• GCD of 287, 688, 205, 843

1. What is the GCD of 852, 119, 329, 355?

GCD of 852, 119, 329, 355 is 1

2. Where do I get the detailed procedure to find GCD of 852, 119, 329, 355?

You can find a detailed procedure to find GCD of 852, 119, 329, 355 on our page.

3. How to find GCD of 852, 119, 329, 355 on a calculator?

You can find the GCD of 852, 119, 329, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.