GCD of 75, 276, 353, 690 Calculator

Given Input numbers are 75, 276, 353, 690

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 75, 276, 353, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 276, 353, 690 is 1.

Therefore, GCD of numbers 75, 276, 353, 690 is 1

Given Input Data is 75, 276, 353, 690

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 276 is 2 x 2 x 3 x 23

Prime Factorization of 353 is 353

Prime Factorization of 690 is 2 x 3 x 5 x 23

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, 276) = 6900

GCD(75, 276) = ( 75 x 276 ) / 6900

GCD(75, 276) = 20700 / 6900

GCD(75, 276) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 353

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

LCM(3, 353) = 1059

GCD(3, 353) = ( 3 x 353 ) / 1059

GCD(3, 353) = 1059 / 1059

GCD(3, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 75, 276, 353, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 438, 685, 502
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• GCD of 69, 641, 691, 952
• GCD of 99, 547, 176, 109

1. What is the GCD of 75, 276, 353, 690?

GCD of 75, 276, 353, 690 is 1

2. Where do I get the detailed procedure to find GCD of 75, 276, 353, 690?

You can find a detailed procedure to find GCD of 75, 276, 353, 690 on our page.

3. How to find GCD of 75, 276, 353, 690 on a calculator?

You can find the GCD of 75, 276, 353, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.