GCD of 134, 664, 36, 575 Calculator

Given Input numbers are 134, 664, 36, 575

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 134, 664, 36, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 664, 36, 575 is 1.

Therefore, GCD of numbers 134, 664, 36, 575 is 1

Given Input Data is 134, 664, 36, 575

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 575 is 5 x 5 x 23

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(134, 664) = 44488

GCD(134, 664) = ( 134 x 664 ) / 44488

GCD(134, 664) = 88976 / 44488

GCD(134, 664) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 575

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

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

GCD(2, 575) = 1150 / 1150

GCD(2, 575) = 1

GCD of 134, 664, 36, 575 is 1

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1. What is the GCD of 134, 664, 36, 575?

GCD of 134, 664, 36, 575 is 1

2. Where do I get the detailed procedure to find GCD of 134, 664, 36, 575?

You can find a detailed procedure to find GCD of 134, 664, 36, 575 on our page.

3. How to find GCD of 134, 664, 36, 575 on a calculator?

You can find the GCD of 134, 664, 36, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.