GCD of 707, 675, 300, 738 Calculator

Given Input numbers are 707, 675, 300, 738

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 707, 675, 300, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 675, 300, 738 is 1.

Therefore, GCD of numbers 707, 675, 300, 738 is 1

Given Input Data is 707, 675, 300, 738

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(707, 675) = 477225

GCD(707, 675) = ( 707 x 675 ) / 477225

GCD(707, 675) = 477225 / 477225

GCD(707, 675) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 707, 675, 300, 738 is 1

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1. What is the GCD of 707, 675, 300, 738?

GCD of 707, 675, 300, 738 is 1

2. Where do I get the detailed procedure to find GCD of 707, 675, 300, 738?

You can find a detailed procedure to find GCD of 707, 675, 300, 738 on our page.

3. How to find GCD of 707, 675, 300, 738 on a calculator?

You can find the GCD of 707, 675, 300, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.