GCD of 270, 422, 380, 861 Calculator

Given Input numbers are 270, 422, 380, 861

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (270, 422, 380, 861) = 1.

Given numbers are 270, 422, 380, 861

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 422 are 2 x 211

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 861 are 3 x 7 x 41

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

Given numbers are 270, 422, 380, 861

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

Apply this formula for all numbers.

Step1:

LCM(270, 422) = 56970

GCD(270, 422) = ( 270 x 422 ) / 56970

= 270 / 422

= 270

Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

Step3:

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

= 2 / 861

= 2

So, Greatest Common Divisor of 270, 422, 380, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 710, 395, 334
• GCD of 594, 449, 314, 552
• GCD of 417, 184, 534, 586
• GCD of 945, 142, 770, 449
• GCD of 678, 378, 195, 232

Given numbers are 270, 422, 380, 861
The greatest common divisor of numbers 270, 422, 380, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 422, 380, 861 is 1.

1. What is the GCD of 270, 422, 380, 861?

GCD of given numbers 270, 422, 380, 861 is 1

2. How to calculate the greatest common divisor of 270, 422, 380, 861?

We can find the highest common divisor of 270, 422, 380, 861 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, 422, 380, 861 i.e 1.

3. How can I use the GCD of 270, 422, 380, 861Calculator?

Out the numbers 270, 422, 380, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.