GCD of 160, 106, 22, 465 Calculator

Given Input numbers are 160, 106, 22, 465

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 106

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

1, 2, 53, 106

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 160, 106, 22, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 106, 22, 465 is 1.

Therefore, GCD of numbers 160, 106, 22, 465 is 1

Given Input Data is 160, 106, 22, 465

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 106 is 2 x 53

Prime Factorization of 22 is 2 x 11

Prime Factorization of 465 is 3 x 5 x 31

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(160, 106) = 8480

GCD(160, 106) = ( 160 x 106 ) / 8480

GCD(160, 106) = 16960 / 8480

GCD(160, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

GCD of 160, 106, 22, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 129, 68, 823
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• GCD of 528, 138, 73, 504

1. What is the GCD of 160, 106, 22, 465?

GCD of 160, 106, 22, 465 is 1

2. Where do I get the detailed procedure to find GCD of 160, 106, 22, 465?

You can find a detailed procedure to find GCD of 160, 106, 22, 465 on our page.

3. How to find GCD of 160, 106, 22, 465 on a calculator?

You can find the GCD of 160, 106, 22, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.