GCD of 168, 628, 94, 116 Calculator

Given Input numbers are 168, 628, 94, 116

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 168, 628, 94, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 628, 94, 116 is 2.

Therefore, GCD of numbers 168, 628, 94, 116 is 2

Given Input Data is 168, 628, 94, 116

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 94 is 2 x 47

Prime Factorization of 116 is 2 x 2 x 29

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(168, 628) = 26376

GCD(168, 628) = ( 168 x 628 ) / 26376

GCD(168, 628) = 105504 / 26376

GCD(168, 628) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 94

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

LCM(4, 94) = 188

GCD(4, 94) = ( 4 x 94 ) / 188

GCD(4, 94) = 376 / 188

GCD(4, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

GCD of 168, 628, 94, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 862, 57, 219
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• GCD of 305, 977, 80, 269
• GCD of 164, 980, 56, 875
• GCD of 463, 580, 71, 557

1. What is the GCD of 168, 628, 94, 116?

GCD of 168, 628, 94, 116 is 2

2. Where do I get the detailed procedure to find GCD of 168, 628, 94, 116?

You can find a detailed procedure to find GCD of 168, 628, 94, 116 on our page.

3. How to find GCD of 168, 628, 94, 116 on a calculator?

You can find the GCD of 168, 628, 94, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.