GCD of 34, 300, 427, 653 Calculator

Given Input numbers are 34, 300, 427, 653

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 34, 300, 427, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 300, 427, 653 is 1.

Therefore, GCD of numbers 34, 300, 427, 653 is 1

Given Input Data is 34, 300, 427, 653

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

Prime Factorization of 34 is 2 x 17

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 653 is 653

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(34, 300) = 5100

GCD(34, 300) = ( 34 x 300 ) / 5100

GCD(34, 300) = 10200 / 5100

GCD(34, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 427

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

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

GCD(2, 427) = 854 / 854

GCD(2, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 34, 300, 427, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 188, 416, 489
• GCD of 57, 575, 127, 115
• GCD of 82, 496, 766, 369
• GCD of 77, 154, 118, 399
• GCD of 41, 123, 585, 136

1. What is the GCD of 34, 300, 427, 653?

GCD of 34, 300, 427, 653 is 1

2. Where do I get the detailed procedure to find GCD of 34, 300, 427, 653?

You can find a detailed procedure to find GCD of 34, 300, 427, 653 on our page.

3. How to find GCD of 34, 300, 427, 653 on a calculator?

You can find the GCD of 34, 300, 427, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.