GCD of 600, 756, 40, 341 Calculator

Given Input numbers are 600, 756, 40, 341

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 600, 756, 40, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 756, 40, 341 is 1.

Therefore, GCD of numbers 600, 756, 40, 341 is 1

Given Input Data is 600, 756, 40, 341

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 341 is 11 x 31

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(600, 756) = 37800

GCD(600, 756) = ( 600 x 756 ) / 37800

GCD(600, 756) = 453600 / 37800

GCD(600, 756) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 40

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

LCM(12, 40) = 120

GCD(12, 40) = ( 12 x 40 ) / 120

GCD(12, 40) = 480 / 120

GCD(12, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 341

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

LCM(4, 341) = 1364

GCD(4, 341) = ( 4 x 341 ) / 1364

GCD(4, 341) = 1364 / 1364

GCD(4, 341) = 1

GCD of 600, 756, 40, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 331, 76, 275
• GCD of 677, 957, 80, 502
• GCD of 999, 736, 81, 159
• GCD of 435, 229, 15, 667
• GCD of 513, 600, 19, 718

1. What is the GCD of 600, 756, 40, 341?

GCD of 600, 756, 40, 341 is 1

2. Where do I get the detailed procedure to find GCD of 600, 756, 40, 341?

You can find a detailed procedure to find GCD of 600, 756, 40, 341 on our page.

3. How to find GCD of 600, 756, 40, 341 on a calculator?

You can find the GCD of 600, 756, 40, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.