GCD of 342, 840, 817, 204 Calculator

Given Input numbers are 342, 840, 817, 204

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 817 :

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

1, 19, 43, 817

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (342, 840, 817, 204) = 1.

Given numbers are 342, 840, 817, 204

The list of prime factors of all numbers are

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

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 817 are 19 x 43

Prime factors of 204 are 2 x 2 x 3 x 17

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

Given numbers are 342, 840, 817, 204

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

Apply this formula for all numbers.

Step1:

LCM(342, 840) = 47880

GCD(342, 840) = ( 342 x 840 ) / 47880

= 342 / 840

= 342

Step2:

LCM(6, 817) = 4902

GCD(6, 817) = ( 6 x 817 ) / 4902

= 6 / 817

= 6

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 342, 840, 817, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 510, 309, 717
• GCD of 424, 790, 235, 102
• GCD of 863, 993, 761, 865
• GCD of 308, 226, 247, 525
• GCD of 827, 121, 230, 595

Given numbers are 342, 840, 817, 204
The greatest common divisor of numbers 342, 840, 817, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 840, 817, 204 is 1.

1. What is the GCD of 342, 840, 817, 204?

GCD of given numbers 342, 840, 817, 204 is 1

2. How to calculate the greatest common divisor of 342, 840, 817, 204?

We can find the highest common divisor of 342, 840, 817, 204 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, 840, 817, 204 i.e 1.

3. How can I use the GCD of 342, 840, 817, 204Calculator?

Out the numbers 342, 840, 817, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.