GCD of 456, 118, 45, 164 Calculator

Given Input numbers are 456, 118, 45, 164

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 456, 118, 45, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 118, 45, 164 is 1.

Therefore, GCD of numbers 456, 118, 45, 164 is 1

Given Input Data is 456, 118, 45, 164

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 118 is 2 x 59

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 164 is 2 x 2 x 41

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(456, 118) = 26904

GCD(456, 118) = ( 456 x 118 ) / 26904

GCD(456, 118) = 53808 / 26904

GCD(456, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 456, 118, 45, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 797, 53, 575
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• GCD of 350, 263, 26, 694
• GCD of 105, 768, 40, 278
• GCD of 854, 465, 67, 389

1. What is the GCD of 456, 118, 45, 164?

GCD of 456, 118, 45, 164 is 1

2. Where do I get the detailed procedure to find GCD of 456, 118, 45, 164?

You can find a detailed procedure to find GCD of 456, 118, 45, 164 on our page.

3. How to find GCD of 456, 118, 45, 164 on a calculator?

You can find the GCD of 456, 118, 45, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.