GCD of 393, 174, 282, 270 Calculator

Given Input numbers are 393, 174, 282, 270

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

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

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

GCD of numbers is the greatest common divisor

So, the GCD (393, 174, 282, 270) = 3.

Given numbers are 393, 174, 282, 270

The list of prime factors of all numbers are

Prime factors of 393 are 3 x 131

Prime factors of 174 are 2 x 3 x 29

Prime factors of 282 are 2 x 3 x 47

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

The highest common occurrence is 3¹

Therefore, GCD of 393, 174, 282, 270 is 3.

Given numbers are 393, 174, 282, 270

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

Apply this formula for all numbers.

Step1:

LCM(393, 174) = 22794

GCD(393, 174) = ( 393 x 174 ) / 22794

= 393 / 174

= 393

Step2:

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

= 3 / 282

= 3

Step3:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

So, Greatest Common Divisor of 393, 174, 282, 270 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 837, 277, 569
• GCD of 490, 838, 358, 842
• GCD of 306, 413, 532, 927
• GCD of 155, 312, 357, 743
• GCD of 630, 351, 634, 974

Given numbers are 393, 174, 282, 270
The greatest common divisor of numbers 393, 174, 282, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 174, 282, 270 is 3.

1. What is the GCD of 393, 174, 282, 270?

GCD of given numbers 393, 174, 282, 270 is 3

2. How to calculate the greatest common divisor of 393, 174, 282, 270?

We can find the highest common divisor of 393, 174, 282, 270 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 393, 174, 282, 270 i.e 3.

3. How can I use the GCD of 393, 174, 282, 270Calculator?

Out the numbers 393, 174, 282, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.