GCD of 270, 789, 321, 898 Calculator

Given Input numbers are 270, 789, 321, 898

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (270, 789, 321, 898) = 1.

Given numbers are 270, 789, 321, 898

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 789 are 3 x 263

Prime factors of 321 are 3 x 107

Prime factors of 898 are 2 x 449

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

Given numbers are 270, 789, 321, 898

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

Apply this formula for all numbers.

Step1:

LCM(270, 789) = 71010

GCD(270, 789) = ( 270 x 789 ) / 71010

= 270 / 789

= 270

Step2:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3

Step3:

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

= 3 / 898

= 3

So, Greatest Common Divisor of 270, 789, 321, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 788, 686, 345
• GCD of 537, 469, 987, 753
• GCD of 227, 692, 321, 161
• GCD of 815, 973, 293, 132
• GCD of 747, 898, 927, 123

Given numbers are 270, 789, 321, 898
The greatest common divisor of numbers 270, 789, 321, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 789, 321, 898 is 1.

1. What is the GCD of 270, 789, 321, 898?

GCD of given numbers 270, 789, 321, 898 is 1

2. How to calculate the greatest common divisor of 270, 789, 321, 898?

We can find the highest common divisor of 270, 789, 321, 898 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 270, 789, 321, 898 i.e 1.

3. How can I use the GCD of 270, 789, 321, 898Calculator?

Out the numbers 270, 789, 321, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.