GCD of 22, 454, 526, 370 Calculator

Given Input numbers are 22, 454, 526, 370

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 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 22, 454, 526, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 454, 526, 370 is 2.

Therefore, GCD of numbers 22, 454, 526, 370 is 2

Given Input Data is 22, 454, 526, 370

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 454 is 2 x 227

Prime Factorization of 526 is 2 x 263

Prime Factorization of 370 is 2 x 5 x 37

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, 454) = 4994

GCD(22, 454) = ( 22 x 454 ) / 4994

GCD(22, 454) = 9988 / 4994

GCD(22, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 526

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

LCM(2, 526) = 526

GCD(2, 526) = ( 2 x 526 ) / 526

GCD(2, 526) = 1052 / 526

GCD(2, 526) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

GCD of 22, 454, 526, 370 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 852, 473, 107
• GCD of 60, 552, 166, 104
• GCD of 53, 542, 443, 771
• GCD of 41, 562, 744, 631
• GCD of 13, 960, 559, 352

1. What is the GCD of 22, 454, 526, 370?

GCD of 22, 454, 526, 370 is 2

2. Where do I get the detailed procedure to find GCD of 22, 454, 526, 370?

You can find a detailed procedure to find GCD of 22, 454, 526, 370 on our page.

3. How to find GCD of 22, 454, 526, 370 on a calculator?

You can find the GCD of 22, 454, 526, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.