GCD of 208, 892, 334, 922 Calculator

Given Input numbers are 208, 892, 334, 922

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 208, 892, 334, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 892, 334, 922 is 2.

Therefore, GCD of numbers 208, 892, 334, 922 is 2

Given Input Data is 208, 892, 334, 922

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 334 is 2 x 167

Prime Factorization of 922 is 2 x 461

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(208, 892) = 46384

GCD(208, 892) = ( 208 x 892 ) / 46384

GCD(208, 892) = 185536 / 46384

GCD(208, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 334

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

LCM(4, 334) = 668

GCD(4, 334) = ( 4 x 334 ) / 668

GCD(4, 334) = 1336 / 668

GCD(4, 334) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 922

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

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

GCD(2, 922) = 1844 / 922

GCD(2, 922) = 2

GCD of 208, 892, 334, 922 is 2

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• GCD of 268, 461, 400, 107
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• GCD of 866, 181, 908, 975

1. What is the GCD of 208, 892, 334, 922?

GCD of 208, 892, 334, 922 is 2

2. Where do I get the detailed procedure to find GCD of 208, 892, 334, 922?

You can find a detailed procedure to find GCD of 208, 892, 334, 922 on our page.

3. How to find GCD of 208, 892, 334, 922 on a calculator?

You can find the GCD of 208, 892, 334, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.