GCD of 668, 826, 20, 114 Calculator

Given Input numbers are 668, 826, 20, 114

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 668, 826, 20, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 826, 20, 114 is 2.

Therefore, GCD of numbers 668, 826, 20, 114 is 2

Given Input Data is 668, 826, 20, 114

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 826 is 2 x 7 x 59

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 114 is 2 x 3 x 19

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, 826) = 275884

GCD(668, 826) = ( 668 x 826 ) / 275884

GCD(668, 826) = 551768 / 275884

GCD(668, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

GCD of 668, 826, 20, 114 is 2

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• GCD of 251, 286, 14, 375
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1. What is the GCD of 668, 826, 20, 114?

GCD of 668, 826, 20, 114 is 2

2. Where do I get the detailed procedure to find GCD of 668, 826, 20, 114?

You can find a detailed procedure to find GCD of 668, 826, 20, 114 on our page.

3. How to find GCD of 668, 826, 20, 114 on a calculator?

You can find the GCD of 668, 826, 20, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.