GCD of 120, 270, 898, 581 Calculator

Given Input numbers are 120, 270, 898, 581

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 898 :

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

1, 2, 449, 898

Divisors of 581 :

The positive integer divisors of 581 that completely divides 581 are.

1, 7, 83, 581

GCD of numbers is the greatest common divisor

So, the GCD (120, 270, 898, 581) = 1.

Given numbers are 120, 270, 898, 581

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 898 are 2 x 449

Prime factors of 581 are 7 x 83

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

Given numbers are 120, 270, 898, 581

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

Apply this formula for all numbers.

Step1:

LCM(120, 270) = 1080

GCD(120, 270) = ( 120 x 270 ) / 1080

= 120 / 270

= 120

Step2:

LCM(30, 898) = 13470

GCD(30, 898) = ( 30 x 898 ) / 13470

= 30 / 898

= 30

Step3:

LCM(2, 581) = 1162

GCD(2, 581) = ( 2 x 581 ) / 1162

= 2 / 581

= 2

So, Greatest Common Divisor of 120, 270, 898, 581 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 885, 226, 590
• GCD of 324, 947, 723, 673
• GCD of 394, 193, 405, 717
• GCD of 651, 629, 772, 933
• GCD of 244, 206, 316, 415

Given numbers are 120, 270, 898, 581
The greatest common divisor of numbers 120, 270, 898, 581 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 270, 898, 581 is 1.

1. What is the GCD of 120, 270, 898, 581?

GCD of given numbers 120, 270, 898, 581 is 1

2. How to calculate the greatest common divisor of 120, 270, 898, 581?

We can find the highest common divisor of 120, 270, 898, 581 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 120, 270, 898, 581 i.e 1.

3. How can I use the GCD of 120, 270, 898, 581Calculator?

Out the numbers 120, 270, 898, 581 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.