GCD of 342, 243, 817, 772 Calculator

Given Input numbers are 342, 243, 817, 772

In the factoring method, we have to find the divisors of all numbers

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (342, 243, 817, 772) = 1.

Given numbers are 342, 243, 817, 772

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 817 are 19 x 43

Prime factors of 772 are 2 x 2 x 193

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 342, 243, 817, 772

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(342, 243) = 9234

GCD(342, 243) = ( 342 x 243 ) / 9234

= 342 / 243

= 342

Step2:

LCM(9, 817) = 7353

GCD(9, 817) = ( 9 x 817 ) / 7353

= 9 / 817

= 9

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 342, 243, 817, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 205, 250, 299
• GCD of 340, 374, 612, 592
• GCD of 450, 747, 621, 185
• GCD of 302, 541, 180, 476
• GCD of 196, 381, 401, 897

Given numbers are 342, 243, 817, 772
The greatest common divisor of numbers 342, 243, 817, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 243, 817, 772 is 1.

1. What is the GCD of 342, 243, 817, 772?

GCD of given numbers 342, 243, 817, 772 is 1

2. How to calculate the greatest common divisor of 342, 243, 817, 772?

We can find the highest common divisor of 342, 243, 817, 772 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 342, 243, 817, 772 i.e 1.

3. How can I use the GCD of 342, 243, 817, 772Calculator?

Out the numbers 342, 243, 817, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.