GCD of 243, 360, 642, 829 Calculator

Given Input numbers are 243, 360, 642, 829

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

Divisors of 243 :

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

1, 3, 9, 27, 81, 243

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (243, 360, 642, 829) = 1.

Given numbers are 243, 360, 642, 829

The list of prime factors of all numbers are

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 642 are 2 x 3 x 107

Prime factors of 829 are 829

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

Given numbers are 243, 360, 642, 829

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

Apply this formula for all numbers.

Step1:

LCM(243, 360) = 9720

GCD(243, 360) = ( 243 x 360 ) / 9720

= 243 / 360

= 243

Step2:

LCM(9, 642) = 1926

GCD(9, 642) = ( 9 x 642 ) / 1926

= 9 / 642

= 9

Step3:

LCM(3, 829) = 2487

GCD(3, 829) = ( 3 x 829 ) / 2487

= 3 / 829

= 3

So, Greatest Common Divisor of 243, 360, 642, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 814, 782, 963
• GCD of 476, 256, 984, 128
• GCD of 628, 930, 989, 548
• GCD of 518, 984, 289, 716
• GCD of 569, 921, 374, 449

Given numbers are 243, 360, 642, 829
The greatest common divisor of numbers 243, 360, 642, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 360, 642, 829 is 1.

1. What is the GCD of 243, 360, 642, 829?

GCD of given numbers 243, 360, 642, 829 is 1

2. How to calculate the greatest common divisor of 243, 360, 642, 829?

We can find the highest common divisor of 243, 360, 642, 829 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 243, 360, 642, 829 i.e 1.

3. How can I use the GCD of 243, 360, 642, 829Calculator?

Out the numbers 243, 360, 642, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.