GCD of 369, 362, 543, 767 Calculator

Given Input numbers are 369, 362, 543, 767

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 362

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

1, 2, 181, 362

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 369, 362, 543, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 362, 543, 767 is 1.

Therefore, GCD of numbers 369, 362, 543, 767 is 1

Given Input Data is 369, 362, 543, 767

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 362 is 2 x 181

Prime Factorization of 543 is 3 x 181

Prime Factorization of 767 is 13 x 59

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(369, 362) = 133578

GCD(369, 362) = ( 369 x 362 ) / 133578

GCD(369, 362) = 133578 / 133578

GCD(369, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 369, 362, 543, 767 is 1

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1. What is the GCD of 369, 362, 543, 767?

GCD of 369, 362, 543, 767 is 1

2. Where do I get the detailed procedure to find GCD of 369, 362, 543, 767?

You can find a detailed procedure to find GCD of 369, 362, 543, 767 on our page.

3. How to find GCD of 369, 362, 543, 767 on a calculator?

You can find the GCD of 369, 362, 543, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.