GCD of 892, 566, 876, 688 Calculator

Given Input numbers are 892, 566, 876, 688

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

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 892, 566, 876, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 566, 876, 688 is 2.

Therefore, GCD of numbers 892, 566, 876, 688 is 2

Given Input Data is 892, 566, 876, 688

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 566 is 2 x 283

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(892, 566) = 252436

GCD(892, 566) = ( 892 x 566 ) / 252436

GCD(892, 566) = 504872 / 252436

GCD(892, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 892, 566, 876, 688 is 2

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1. What is the GCD of 892, 566, 876, 688?

GCD of 892, 566, 876, 688 is 2

2. Where do I get the detailed procedure to find GCD of 892, 566, 876, 688?

You can find a detailed procedure to find GCD of 892, 566, 876, 688 on our page.

3. How to find GCD of 892, 566, 876, 688 on a calculator?

You can find the GCD of 892, 566, 876, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.