GCD of 67, 738, 300, 355 Calculator

Given Input numbers are 67, 738, 300, 355

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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

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 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 67, 738, 300, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 738, 300, 355 is 1.

Therefore, GCD of numbers 67, 738, 300, 355 is 1

Given Input Data is 67, 738, 300, 355

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

Prime Factorization of 67 is 67

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

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

Prime Factorization of 355 is 5 x 71

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(67, 738) = 49446

GCD(67, 738) = ( 67 x 738 ) / 49446

GCD(67, 738) = 49446 / 49446

GCD(67, 738) = 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 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 67, 738, 300, 355 is 1

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• GCD of 77, 848, 859, 920
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1. What is the GCD of 67, 738, 300, 355?

GCD of 67, 738, 300, 355 is 1

2. Where do I get the detailed procedure to find GCD of 67, 738, 300, 355?

You can find a detailed procedure to find GCD of 67, 738, 300, 355 on our page.

3. How to find GCD of 67, 738, 300, 355 on a calculator?

You can find the GCD of 67, 738, 300, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.