GCD of 75, 366, 913, 334 Calculator

Given Input numbers are 75, 366, 913, 334

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 75, 366, 913, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 366, 913, 334 is 1.

Therefore, GCD of numbers 75, 366, 913, 334 is 1

Given Input Data is 75, 366, 913, 334

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 913 is 11 x 83

Prime Factorization of 334 is 2 x 167

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(75, 366) = 9150

GCD(75, 366) = ( 75 x 366 ) / 9150

GCD(75, 366) = 27450 / 9150

GCD(75, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 913

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

LCM(3, 913) = 2739

GCD(3, 913) = ( 3 x 913 ) / 2739

GCD(3, 913) = 2739 / 2739

GCD(3, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 75, 366, 913, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 397, 546, 192
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• GCD of 35, 642, 701, 522
• GCD of 53, 768, 921, 113
• GCD of 14, 685, 660, 349

1. What is the GCD of 75, 366, 913, 334?

GCD of 75, 366, 913, 334 is 1

2. Where do I get the detailed procedure to find GCD of 75, 366, 913, 334?

You can find a detailed procedure to find GCD of 75, 366, 913, 334 on our page.

3. How to find GCD of 75, 366, 913, 334 on a calculator?

You can find the GCD of 75, 366, 913, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.