GCD of 270, 213, 318, 717 Calculator

Given Input numbers are 270, 213, 318, 717

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (270, 213, 318, 717) = 3.

Given numbers are 270, 213, 318, 717

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 213 are 3 x 71

Prime factors of 318 are 2 x 3 x 53

Prime factors of 717 are 3 x 239

The highest common occurrence is 3¹

Therefore, GCD of 270, 213, 318, 717 is 3.

Given numbers are 270, 213, 318, 717

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

Apply this formula for all numbers.

Step1:

LCM(270, 213) = 19170

GCD(270, 213) = ( 270 x 213 ) / 19170

= 270 / 213

= 270

Step2:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

Step3:

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

= 3 / 717

= 3

So, Greatest Common Divisor of 270, 213, 318, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 623, 983, 599
• GCD of 178, 301, 925, 182
• GCD of 601, 763, 851, 808
• GCD of 920, 362, 228, 734
• GCD of 350, 590, 725, 222

Given numbers are 270, 213, 318, 717
The greatest common divisor of numbers 270, 213, 318, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 213, 318, 717 is 3.

1. What is the GCD of 270, 213, 318, 717?

GCD of given numbers 270, 213, 318, 717 is 3

2. How to calculate the greatest common divisor of 270, 213, 318, 717?

We can find the highest common divisor of 270, 213, 318, 717 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, 213, 318, 717 i.e 3.

3. How can I use the GCD of 270, 213, 318, 717Calculator?

Out the numbers 270, 213, 318, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.