GCD of 354, 154, 22, 792 Calculator

Given Input numbers are 354, 154, 22, 792

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 22

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

1, 2, 11, 22

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 354, 154, 22, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 154, 22, 792 is 2.

Therefore, GCD of numbers 354, 154, 22, 792 is 2

Given Input Data is 354, 154, 22, 792

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 22 is 2 x 11

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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(354, 154) = 27258

GCD(354, 154) = ( 354 x 154 ) / 27258

GCD(354, 154) = 54516 / 27258

GCD(354, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

GCD of 354, 154, 22, 792 is 2

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1. What is the GCD of 354, 154, 22, 792?

GCD of 354, 154, 22, 792 is 2

2. Where do I get the detailed procedure to find GCD of 354, 154, 22, 792?

You can find a detailed procedure to find GCD of 354, 154, 22, 792 on our page.

3. How to find GCD of 354, 154, 22, 792 on a calculator?

You can find the GCD of 354, 154, 22, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.