GCD of 342, 612, 441, 801 Calculator

Given Input numbers are 342, 612, 441, 801

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

GCD of numbers is the greatest common divisor

So, the GCD (342, 612, 441, 801) = 9.

Given numbers are 342, 612, 441, 801

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 801 are 3 x 3 x 89

The highest common occurrence is 3²

Therefore, GCD of 342, 612, 441, 801 is 9.

Given numbers are 342, 612, 441, 801

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

Apply this formula for all numbers.

Step1:

LCM(342, 612) = 11628

GCD(342, 612) = ( 342 x 612 ) / 11628

= 342 / 612

= 342

Step2:

LCM(18, 441) = 882

GCD(18, 441) = ( 18 x 441 ) / 882

= 18 / 441

= 18

Step3:

LCM(9, 801) = 801

GCD(9, 801) = ( 9 x 801 ) / 801

= 9 / 801

= 9

So, Greatest Common Divisor of 342, 612, 441, 801 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 811, 712, 300
• GCD of 264, 336, 159, 319
• GCD of 572, 677, 602, 433
• GCD of 102, 516, 248, 358
• GCD of 870, 747, 401, 513

Given numbers are 342, 612, 441, 801
The greatest common divisor of numbers 342, 612, 441, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 612, 441, 801 is 9.

1. What is the GCD of 342, 612, 441, 801?

GCD of given numbers 342, 612, 441, 801 is 9

2. How to calculate the greatest common divisor of 342, 612, 441, 801?

We can find the highest common divisor of 342, 612, 441, 801 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, 612, 441, 801 i.e 9.

3. How can I use the GCD of 342, 612, 441, 801Calculator?

Out the numbers 342, 612, 441, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.