GCD of 454, 188, 688, 854 Calculator

Given Input numbers are 454, 188, 688, 854

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 454, 188, 688, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 188, 688, 854 is 2.

Therefore, GCD of numbers 454, 188, 688, 854 is 2

Given Input Data is 454, 188, 688, 854

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 188 is 2 x 2 x 47

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

Prime Factorization of 854 is 2 x 7 x 61

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(454, 188) = 42676

GCD(454, 188) = ( 454 x 188 ) / 42676

GCD(454, 188) = 85352 / 42676

GCD(454, 188) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

GCD of 454, 188, 688, 854 is 2

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1. What is the GCD of 454, 188, 688, 854?

GCD of 454, 188, 688, 854 is 2

2. Where do I get the detailed procedure to find GCD of 454, 188, 688, 854?

You can find a detailed procedure to find GCD of 454, 188, 688, 854 on our page.

3. How to find GCD of 454, 188, 688, 854 on a calculator?

You can find the GCD of 454, 188, 688, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.