GCD of 162, 914, 59, 158 Calculator

Given Input numbers are 162, 914, 59, 158

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 162, 914, 59, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 914, 59, 158 is 1.

Therefore, GCD of numbers 162, 914, 59, 158 is 1

Given Input Data is 162, 914, 59, 158

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 914 is 2 x 457

Prime Factorization of 59 is 59

Prime Factorization of 158 is 2 x 79

The above numbers do not have any common prime factor. So GCD is 1

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(162, 914) = 74034

GCD(162, 914) = ( 162 x 914 ) / 74034

GCD(162, 914) = 148068 / 74034

GCD(162, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 162, 914, 59, 158 is 1

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1. What is the GCD of 162, 914, 59, 158?

GCD of 162, 914, 59, 158 is 1

2. Where do I get the detailed procedure to find GCD of 162, 914, 59, 158?

You can find a detailed procedure to find GCD of 162, 914, 59, 158 on our page.

3. How to find GCD of 162, 914, 59, 158 on a calculator?

You can find the GCD of 162, 914, 59, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.