GCD of 422, 762, 26, 176 Calculator

Given Input numbers are 422, 762, 26, 176

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 422, 762, 26, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 762, 26, 176 is 2.

Therefore, GCD of numbers 422, 762, 26, 176 is 2

Given Input Data is 422, 762, 26, 176

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 26 is 2 x 13

Prime Factorization of 176 is 2 x 2 x 2 x 2 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(422, 762) = 160782

GCD(422, 762) = ( 422 x 762 ) / 160782

GCD(422, 762) = 321564 / 160782

GCD(422, 762) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 176

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

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

GCD(2, 176) = 352 / 176

GCD(2, 176) = 2

GCD of 422, 762, 26, 176 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 312, 10, 420
• GCD of 119, 564, 47, 660
• GCD of 496, 796, 64, 332
• GCD of 821, 697, 14, 861
• GCD of 578, 277, 83, 729

1. What is the GCD of 422, 762, 26, 176?

GCD of 422, 762, 26, 176 is 2

2. Where do I get the detailed procedure to find GCD of 422, 762, 26, 176?

You can find a detailed procedure to find GCD of 422, 762, 26, 176 on our page.

3. How to find GCD of 422, 762, 26, 176 on a calculator?

You can find the GCD of 422, 762, 26, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.