GCD of 782, 142, 74, 369 Calculator

Given Input numbers are 782, 142, 74, 369

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 142

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

1, 2, 71, 142

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 369

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

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 782, 142, 74, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 142, 74, 369 is 1.

Therefore, GCD of numbers 782, 142, 74, 369 is 1

Given Input Data is 782, 142, 74, 369

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 142 is 2 x 71

Prime Factorization of 74 is 2 x 37

Prime Factorization of 369 is 3 x 3 x 41

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(782, 142) = 55522

GCD(782, 142) = ( 782 x 142 ) / 55522

GCD(782, 142) = 111044 / 55522

GCD(782, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

GCD of 782, 142, 74, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 699, 34, 197
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• GCD of 707, 215, 62, 163

1. What is the GCD of 782, 142, 74, 369?

GCD of 782, 142, 74, 369 is 1

2. Where do I get the detailed procedure to find GCD of 782, 142, 74, 369?

You can find a detailed procedure to find GCD of 782, 142, 74, 369 on our page.

3. How to find GCD of 782, 142, 74, 369 on a calculator?

You can find the GCD of 782, 142, 74, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.