GCD of 158, 340, 164 Calculator

Given Input numbers are 158, 340, 164

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

Divisors of 158

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

1, 2, 79, 158

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 158, 340, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 340, 164 is 2.

Therefore, GCD of numbers 158, 340, 164 is 2

Given Input Data is 158, 340, 164

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 164 is 2 x 2 x 41

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(158, 340) = 26860

GCD(158, 340) = ( 158 x 340 ) / 26860

GCD(158, 340) = 53720 / 26860

GCD(158, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 158, 340, 164 is 2

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1. What is the GCD of 158, 340, 164?

GCD of 158, 340, 164 is 2

2. Where do I get the detailed procedure to find GCD of 158, 340, 164?

You can find a detailed procedure to find GCD of 158, 340, 164 on our page.

3. How to find GCD of 158, 340, 164 on a calculator?

You can find the GCD of 158, 340, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.