GCD of 75, 678, 151, 405 Calculator

Given Input numbers are 75, 678, 151, 405

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Greatest Common Divisior

We found the divisors of 75, 678, 151, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 678, 151, 405 is 1.

Therefore, GCD of numbers 75, 678, 151, 405 is 1

Given Input Data is 75, 678, 151, 405

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 678 is 2 x 3 x 113

Prime Factorization of 151 is 151

Prime Factorization of 405 is 3 x 3 x 3 x 3 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(75, 678) = 16950

GCD(75, 678) = ( 75 x 678 ) / 16950

GCD(75, 678) = 50850 / 16950

GCD(75, 678) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 151

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

LCM(3, 151) = 453

GCD(3, 151) = ( 3 x 151 ) / 453

GCD(3, 151) = 453 / 453

GCD(3, 151) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 75, 678, 151, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 767, 608, 451
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• GCD of 19, 300, 542, 640
• GCD of 35, 523, 803, 392
• GCD of 41, 591, 358, 774

1. What is the GCD of 75, 678, 151, 405?

GCD of 75, 678, 151, 405 is 1

2. Where do I get the detailed procedure to find GCD of 75, 678, 151, 405?

You can find a detailed procedure to find GCD of 75, 678, 151, 405 on our page.

3. How to find GCD of 75, 678, 151, 405 on a calculator?

You can find the GCD of 75, 678, 151, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.