GCD of 22, 343, 880, 824 Calculator

Given Input numbers are 22, 343, 880, 824

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 22, 343, 880, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 343, 880, 824 is 1.

Therefore, GCD of numbers 22, 343, 880, 824 is 1

Given Input Data is 22, 343, 880, 824

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 343 is 7 x 7 x 7

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(22, 343) = 7546

GCD(22, 343) = ( 22 x 343 ) / 7546

GCD(22, 343) = 7546 / 7546

GCD(22, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 22, 343, 880, 824 is 1

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• GCD of 84, 729, 373, 341
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• GCD of 58, 812, 763, 199

1. What is the GCD of 22, 343, 880, 824?

GCD of 22, 343, 880, 824 is 1

2. Where do I get the detailed procedure to find GCD of 22, 343, 880, 824?

You can find a detailed procedure to find GCD of 22, 343, 880, 824 on our page.

3. How to find GCD of 22, 343, 880, 824 on a calculator?

You can find the GCD of 22, 343, 880, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.