GCD of 270, 200, 258, 814 Calculator

Given Input numbers are 270, 200, 258, 814

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (270, 200, 258, 814) = 2.

Given numbers are 270, 200, 258, 814

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 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 258 are 2 x 3 x 43

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 270, 200, 258, 814 is 2.

Given numbers are 270, 200, 258, 814

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

Apply this formula for all numbers.

Step1:

LCM(270, 200) = 5400

GCD(270, 200) = ( 270 x 200 ) / 5400

= 270 / 200

= 270

Step2:

LCM(10, 258) = 1290

GCD(10, 258) = ( 10 x 258 ) / 1290

= 10 / 258

= 10

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 270, 200, 258, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 352, 652, 119
• GCD of 641, 955, 194, 213
• GCD of 723, 624, 105, 186
• GCD of 609, 314, 149, 491
• GCD of 759, 326, 498, 482

Given numbers are 270, 200, 258, 814
The greatest common divisor of numbers 270, 200, 258, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 200, 258, 814 is 2.

1. What is the GCD of 270, 200, 258, 814?

GCD of given numbers 270, 200, 258, 814 is 2

2. How to calculate the greatest common divisor of 270, 200, 258, 814?

We can find the highest common divisor of 270, 200, 258, 814 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, 200, 258, 814 i.e 2.

3. How can I use the GCD of 270, 200, 258, 814Calculator?

Out the numbers 270, 200, 258, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.