GCD of 270, 744, 840, 393 Calculator

Given Input numbers are 270, 744, 840, 393

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 393 :

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

1, 3, 131, 393

GCD of numbers is the greatest common divisor

So, the GCD (270, 744, 840, 393) = 3.

Given numbers are 270, 744, 840, 393

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 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 393 are 3 x 131

The highest common occurrence is 3¹

Therefore, GCD of 270, 744, 840, 393 is 3.

Given numbers are 270, 744, 840, 393

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

Apply this formula for all numbers.

Step1:

LCM(270, 744) = 33480

GCD(270, 744) = ( 270 x 744 ) / 33480

= 270 / 744

= 270

Step2:

LCM(6, 840) = 840

GCD(6, 840) = ( 6 x 840 ) / 840

= 6 / 840

= 6

Step3:

LCM(6, 393) = 786

GCD(6, 393) = ( 6 x 393 ) / 786

= 6 / 393

= 6

So, Greatest Common Divisor of 270, 744, 840, 393 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 830, 174, 885
• GCD of 874, 788, 114, 390
• GCD of 301, 844, 428, 585
• GCD of 548, 258, 898, 734
• GCD of 884, 979, 959, 197

Given numbers are 270, 744, 840, 393
The greatest common divisor of numbers 270, 744, 840, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 744, 840, 393 is 3.

1. What is the GCD of 270, 744, 840, 393?

GCD of given numbers 270, 744, 840, 393 is 3

2. How to calculate the greatest common divisor of 270, 744, 840, 393?

We can find the highest common divisor of 270, 744, 840, 393 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, 744, 840, 393 i.e 3.

3. How can I use the GCD of 270, 744, 840, 393Calculator?

Out the numbers 270, 744, 840, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.