GCD of 362, 236, 771, 342 Calculator

Given Input numbers are 362, 236, 771, 342

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 362, 236, 771, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 236, 771, 342 is 1.

Therefore, GCD of numbers 362, 236, 771, 342 is 1

Given Input Data is 362, 236, 771, 342

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 771 is 3 x 257

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(362, 236) = 42716

GCD(362, 236) = ( 362 x 236 ) / 42716

GCD(362, 236) = 85432 / 42716

GCD(362, 236) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 362, 236, 771, 342 is 1

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1. What is the GCD of 362, 236, 771, 342?

GCD of 362, 236, 771, 342 is 1

2. Where do I get the detailed procedure to find GCD of 362, 236, 771, 342?

You can find a detailed procedure to find GCD of 362, 236, 771, 342 on our page.

3. How to find GCD of 362, 236, 771, 342 on a calculator?

You can find the GCD of 362, 236, 771, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.