GCD of 134, 973, 178, 300 Calculator

Given Input numbers are 134, 973, 178, 300

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 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 134, 973, 178, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 973, 178, 300 is 1.

Therefore, GCD of numbers 134, 973, 178, 300 is 1

Given Input Data is 134, 973, 178, 300

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 973 is 7 x 139

Prime Factorization of 178 is 2 x 89

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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, 973) = 130382

GCD(134, 973) = ( 134 x 973 ) / 130382

GCD(134, 973) = 130382 / 130382

GCD(134, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 134, 973, 178, 300 is 1

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• GCD of 163, 449, 319, 531
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1. What is the GCD of 134, 973, 178, 300?

GCD of 134, 973, 178, 300 is 1

2. Where do I get the detailed procedure to find GCD of 134, 973, 178, 300?

You can find a detailed procedure to find GCD of 134, 973, 178, 300 on our page.

3. How to find GCD of 134, 973, 178, 300 on a calculator?

You can find the GCD of 134, 973, 178, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.