GCD of 668, 922, 616, 894 Calculator

Given Input numbers are 668, 922, 616, 894

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

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 922

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

1, 2, 461, 922

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 668, 922, 616, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 922, 616, 894 is 2.

Therefore, GCD of numbers 668, 922, 616, 894 is 2

Given Input Data is 668, 922, 616, 894

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 922 is 2 x 461

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 894 is 2 x 3 x 149

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(668, 922) = 307948

GCD(668, 922) = ( 668 x 922 ) / 307948

GCD(668, 922) = 615896 / 307948

GCD(668, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 668, 922, 616, 894 is 2

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1. What is the GCD of 668, 922, 616, 894?

GCD of 668, 922, 616, 894 is 2

2. Where do I get the detailed procedure to find GCD of 668, 922, 616, 894?

You can find a detailed procedure to find GCD of 668, 922, 616, 894 on our page.

3. How to find GCD of 668, 922, 616, 894 on a calculator?

You can find the GCD of 668, 922, 616, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.