GCD of 42, 761, 342, 369 Calculator

Given Input numbers are 42, 761, 342, 369

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

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

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 42, 761, 342, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 761, 342, 369 is 1.

Therefore, GCD of numbers 42, 761, 342, 369 is 1

Given Input Data is 42, 761, 342, 369

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 761 is 761

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

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(42, 761) = 31962

GCD(42, 761) = ( 42 x 761 ) / 31962

GCD(42, 761) = 31962 / 31962

GCD(42, 761) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 42, 761, 342, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 706, 835, 671
• GCD of 63, 589, 754, 632
• GCD of 53, 950, 933, 717
• GCD of 92, 674, 892, 643
• GCD of 95, 763, 602, 794

1. What is the GCD of 42, 761, 342, 369?

GCD of 42, 761, 342, 369 is 1

2. Where do I get the detailed procedure to find GCD of 42, 761, 342, 369?

You can find a detailed procedure to find GCD of 42, 761, 342, 369 on our page.

3. How to find GCD of 42, 761, 342, 369 on a calculator?

You can find the GCD of 42, 761, 342, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.