GCD of 106, 672, 92, 158 Calculator

Given Input numbers are 106, 672, 92, 158

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 106, 672, 92, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 672, 92, 158 is 2.

Therefore, GCD of numbers 106, 672, 92, 158 is 2

Given Input Data is 106, 672, 92, 158

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 158 is 2 x 79

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(106, 672) = 35616

GCD(106, 672) = ( 106 x 672 ) / 35616

GCD(106, 672) = 71232 / 35616

GCD(106, 672) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

GCD of 106, 672, 92, 158 is 2

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1. What is the GCD of 106, 672, 92, 158?

GCD of 106, 672, 92, 158 is 2

2. Where do I get the detailed procedure to find GCD of 106, 672, 92, 158?

You can find a detailed procedure to find GCD of 106, 672, 92, 158 on our page.

3. How to find GCD of 106, 672, 92, 158 on a calculator?

You can find the GCD of 106, 672, 92, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.