GCD of 67, 142, 366, 774 Calculator

Given Input numbers are 67, 142, 366, 774

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 67, 142, 366, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 142, 366, 774 is 1.

Therefore, GCD of numbers 67, 142, 366, 774 is 1

Given Input Data is 67, 142, 366, 774

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

Prime Factorization of 67 is 67

Prime Factorization of 142 is 2 x 71

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 774 is 2 x 3 x 3 x 43

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, 142) = 9514

GCD(67, 142) = ( 67 x 142 ) / 9514

GCD(67, 142) = 9514 / 9514

GCD(67, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 67, 142, 366, 774 is 1

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1. What is the GCD of 67, 142, 366, 774?

GCD of 67, 142, 366, 774 is 1

2. Where do I get the detailed procedure to find GCD of 67, 142, 366, 774?

You can find a detailed procedure to find GCD of 67, 142, 366, 774 on our page.

3. How to find GCD of 67, 142, 366, 774 on a calculator?

You can find the GCD of 67, 142, 366, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.