GCD of 870, 729, 229, 355 Calculator

Given Input numbers are 870, 729, 229, 355

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (870, 729, 229, 355) = 1.

Given numbers are 870, 729, 229, 355

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 229 are 229

Prime factors of 355 are 5 x 71

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

Given numbers are 870, 729, 229, 355

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

Apply this formula for all numbers.

Step1:

LCM(870, 729) = 211410

GCD(870, 729) = ( 870 x 729 ) / 211410

= 870 / 729

= 870

Step2:

LCM(3, 229) = 687

GCD(3, 229) = ( 3 x 229 ) / 687

= 3 / 229

= 3

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 870, 729, 229, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 342, 779, 144
• GCD of 135, 772, 280, 521
• GCD of 919, 265, 289, 775
• GCD of 311, 367, 836, 885
• GCD of 707, 142, 774, 351

Given numbers are 870, 729, 229, 355
The greatest common divisor of numbers 870, 729, 229, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 729, 229, 355 is 1.

1. What is the GCD of 870, 729, 229, 355?

GCD of given numbers 870, 729, 229, 355 is 1

2. How to calculate the greatest common divisor of 870, 729, 229, 355?

We can find the highest common divisor of 870, 729, 229, 355 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 870, 729, 229, 355 i.e 1.

3. How can I use the GCD of 870, 729, 229, 355Calculator?

Out the numbers 870, 729, 229, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.