GCD of 300, 675, 934, 148 Calculator

Given Input numbers are 300, 675, 934, 148

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

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 300, 675, 934, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 675, 934, 148 is 1.

Therefore, GCD of numbers 300, 675, 934, 148 is 1

Given Input Data is 300, 675, 934, 148

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

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 934 is 2 x 467

Prime Factorization of 148 is 2 x 2 x 37

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(300, 675) = 2700

GCD(300, 675) = ( 300 x 675 ) / 2700

GCD(300, 675) = 202500 / 2700

GCD(300, 675) = 75

Step2:

Here we consider the GCD from the above i.e. 75 as first number and the next as 934

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

LCM(75, 934) = 70050

GCD(75, 934) = ( 75 x 934 ) / 70050

GCD(75, 934) = 70050 / 70050

GCD(75, 934) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 300, 675, 934, 148 is 1

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1. What is the GCD of 300, 675, 934, 148?

GCD of 300, 675, 934, 148 is 1

2. Where do I get the detailed procedure to find GCD of 300, 675, 934, 148?

You can find a detailed procedure to find GCD of 300, 675, 934, 148 on our page.

3. How to find GCD of 300, 675, 934, 148 on a calculator?

You can find the GCD of 300, 675, 934, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.