GCD of 426, 778, 22, 123 Calculator

Given Input numbers are 426, 778, 22, 123

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 22

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

1, 2, 11, 22

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 426, 778, 22, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 778, 22, 123 is 1.

Therefore, GCD of numbers 426, 778, 22, 123 is 1

Given Input Data is 426, 778, 22, 123

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 778 is 2 x 389

Prime Factorization of 22 is 2 x 11

Prime Factorization of 123 is 3 x 41

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(426, 778) = 165714

GCD(426, 778) = ( 426 x 778 ) / 165714

GCD(426, 778) = 331428 / 165714

GCD(426, 778) = 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 123

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

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

GCD(2, 123) = 246 / 246

GCD(2, 123) = 1

GCD of 426, 778, 22, 123 is 1

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1. What is the GCD of 426, 778, 22, 123?

GCD of 426, 778, 22, 123 is 1

2. Where do I get the detailed procedure to find GCD of 426, 778, 22, 123?

You can find a detailed procedure to find GCD of 426, 778, 22, 123 on our page.

3. How to find GCD of 426, 778, 22, 123 on a calculator?

You can find the GCD of 426, 778, 22, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.