GCD of 22, 402, 694, 832 Calculator

Given Input numbers are 22, 402, 694, 832

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 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 22, 402, 694, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 402, 694, 832 is 2.

Therefore, GCD of numbers 22, 402, 694, 832 is 2

Given Input Data is 22, 402, 694, 832

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 694 is 2 x 347

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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(22, 402) = 4422

GCD(22, 402) = ( 22 x 402 ) / 4422

GCD(22, 402) = 8844 / 4422

GCD(22, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 832

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

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

GCD(2, 832) = 1664 / 832

GCD(2, 832) = 2

GCD of 22, 402, 694, 832 is 2

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1. What is the GCD of 22, 402, 694, 832?

GCD of 22, 402, 694, 832 is 2

2. Where do I get the detailed procedure to find GCD of 22, 402, 694, 832?

You can find a detailed procedure to find GCD of 22, 402, 694, 832 on our page.

3. How to find GCD of 22, 402, 694, 832 on a calculator?

You can find the GCD of 22, 402, 694, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.