GCD of 16, 892, 674, 212 Calculator

Given Input numbers are 16, 892, 674, 212

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 16, 892, 674, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 892, 674, 212 is 2.

Therefore, GCD of numbers 16, 892, 674, 212 is 2

Given Input Data is 16, 892, 674, 212

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 674 is 2 x 337

Prime Factorization of 212 is 2 x 2 x 53

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(16, 892) = 3568

GCD(16, 892) = ( 16 x 892 ) / 3568

GCD(16, 892) = 14272 / 3568

GCD(16, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 674

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

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

GCD(4, 674) = 2696 / 1348

GCD(4, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 16, 892, 674, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 480, 376, 626
• GCD of 11, 191, 200, 156
• GCD of 21, 798, 399, 289
• GCD of 95, 348, 144, 518
• GCD of 22, 356, 624, 797

1. What is the GCD of 16, 892, 674, 212?

GCD of 16, 892, 674, 212 is 2

2. Where do I get the detailed procedure to find GCD of 16, 892, 674, 212?

You can find a detailed procedure to find GCD of 16, 892, 674, 212 on our page.

3. How to find GCD of 16, 892, 674, 212 on a calculator?

You can find the GCD of 16, 892, 674, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.