GCD of 880, 322, 342, 356 Calculator

Given Input numbers are 880, 322, 342, 356

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 880, 322, 342, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 322, 342, 356 is 2.

Therefore, GCD of numbers 880, 322, 342, 356 is 2

Given Input Data is 880, 322, 342, 356

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 356 is 2 x 2 x 89

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(880, 322) = 141680

GCD(880, 322) = ( 880 x 322 ) / 141680

GCD(880, 322) = 283360 / 141680

GCD(880, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

GCD of 880, 322, 342, 356 is 2

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1. What is the GCD of 880, 322, 342, 356?

GCD of 880, 322, 342, 356 is 2

2. Where do I get the detailed procedure to find GCD of 880, 322, 342, 356?

You can find a detailed procedure to find GCD of 880, 322, 342, 356 on our page.

3. How to find GCD of 880, 322, 342, 356 on a calculator?

You can find the GCD of 880, 322, 342, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.