GCD of 354, 150, 71, 367 Calculator

Given Input numbers are 354, 150, 71, 367

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 354, 150, 71, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 150, 71, 367 is 1.

Therefore, GCD of numbers 354, 150, 71, 367 is 1

Given Input Data is 354, 150, 71, 367

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 71 is 71

Prime Factorization of 367 is 367

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(354, 150) = 8850

GCD(354, 150) = ( 354 x 150 ) / 8850

GCD(354, 150) = 53100 / 8850

GCD(354, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 71

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

LCM(6, 71) = 426

GCD(6, 71) = ( 6 x 71 ) / 426

GCD(6, 71) = 426 / 426

GCD(6, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 354, 150, 71, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 297, 21, 823
• GCD of 203, 635, 80, 406
• GCD of 694, 376, 71, 363
• GCD of 464, 544, 80, 326
• GCD of 105, 995, 60, 137

1. What is the GCD of 354, 150, 71, 367?

GCD of 354, 150, 71, 367 is 1

2. Where do I get the detailed procedure to find GCD of 354, 150, 71, 367?

You can find a detailed procedure to find GCD of 354, 150, 71, 367 on our page.

3. How to find GCD of 354, 150, 71, 367 on a calculator?

You can find the GCD of 354, 150, 71, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.