GCD of 42, 122, 892, 164 Calculator

Given Input numbers are 42, 122, 892, 164

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 42, 122, 892, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 122, 892, 164 is 2.

Therefore, GCD of numbers 42, 122, 892, 164 is 2

Given Input Data is 42, 122, 892, 164

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 122 is 2 x 61

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 164 is 2 x 2 x 41

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(42, 122) = 2562

GCD(42, 122) = ( 42 x 122 ) / 2562

GCD(42, 122) = 5124 / 2562

GCD(42, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 42, 122, 892, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 176, 292, 209
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• GCD of 13, 530, 604, 592
• GCD of 18, 467, 172, 424
• GCD of 73, 328, 608, 640

1. What is the GCD of 42, 122, 892, 164?

GCD of 42, 122, 892, 164 is 2

2. Where do I get the detailed procedure to find GCD of 42, 122, 892, 164?

You can find a detailed procedure to find GCD of 42, 122, 892, 164 on our page.

3. How to find GCD of 42, 122, 892, 164 on a calculator?

You can find the GCD of 42, 122, 892, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.