GCD of 853, 338, 160, 434 Calculator

Given Input numbers are 853, 338, 160, 434

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 853, 338, 160, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 338, 160, 434 is 1.

Therefore, GCD of numbers 853, 338, 160, 434 is 1

Given Input Data is 853, 338, 160, 434

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

Prime Factorization of 853 is 853

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 434 is 2 x 7 x 31

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(853, 338) = 288314

GCD(853, 338) = ( 853 x 338 ) / 288314

GCD(853, 338) = 288314 / 288314

GCD(853, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 853, 338, 160, 434 is 1

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1. What is the GCD of 853, 338, 160, 434?

GCD of 853, 338, 160, 434 is 1

2. Where do I get the detailed procedure to find GCD of 853, 338, 160, 434?

You can find a detailed procedure to find GCD of 853, 338, 160, 434 on our page.

3. How to find GCD of 853, 338, 160, 434 on a calculator?

You can find the GCD of 853, 338, 160, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.