GCD of 750, 697, 206, 300 Calculator

Given Input numbers are 750, 697, 206, 300

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

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

Greatest Common Divisior

We found the divisors of 750, 697, 206, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 697, 206, 300 is 1.

Therefore, GCD of numbers 750, 697, 206, 300 is 1

Given Input Data is 750, 697, 206, 300

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 697 is 17 x 41

Prime Factorization of 206 is 2 x 103

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

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(750, 697) = 522750

GCD(750, 697) = ( 750 x 697 ) / 522750

GCD(750, 697) = 522750 / 522750

GCD(750, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 750, 697, 206, 300 is 1

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• GCD of 657, 426, 410, 700

1. What is the GCD of 750, 697, 206, 300?

GCD of 750, 697, 206, 300 is 1

2. Where do I get the detailed procedure to find GCD of 750, 697, 206, 300?

You can find a detailed procedure to find GCD of 750, 697, 206, 300 on our page.

3. How to find GCD of 750, 697, 206, 300 on a calculator?

You can find the GCD of 750, 697, 206, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.