GCD of 349, 882, 52, 128 Calculator

Given Input numbers are 349, 882, 52, 128

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 349, 882, 52, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 882, 52, 128 is 1.

Therefore, GCD of numbers 349, 882, 52, 128 is 1

Given Input Data is 349, 882, 52, 128

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

Prime Factorization of 349 is 349

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(349, 882) = 307818

GCD(349, 882) = ( 349 x 882 ) / 307818

GCD(349, 882) = 307818 / 307818

GCD(349, 882) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 349, 882, 52, 128 is 1

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1. What is the GCD of 349, 882, 52, 128?

GCD of 349, 882, 52, 128 is 1

2. Where do I get the detailed procedure to find GCD of 349, 882, 52, 128?

You can find a detailed procedure to find GCD of 349, 882, 52, 128 on our page.

3. How to find GCD of 349, 882, 52, 128 on a calculator?

You can find the GCD of 349, 882, 52, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.