GCD of 204, 801, 744, 270 Calculator

Given Input numbers are 204, 801, 744, 270

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

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 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 (204, 801, 744, 270) = 3.

Given numbers are 204, 801, 744, 270

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 801 are 3 x 3 x 89

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

The highest common occurrence is 3¹

Therefore, GCD of 204, 801, 744, 270 is 3.

Given numbers are 204, 801, 744, 270

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

Apply this formula for all numbers.

Step1:

LCM(204, 801) = 54468

GCD(204, 801) = ( 204 x 801 ) / 54468

= 204 / 801

= 204

Step2:

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

= 3 / 744

= 3

Step3:

LCM(3, 270) = 270

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

= 3 / 270

= 3

So, Greatest Common Divisor of 204, 801, 744, 270 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 571, 522, 543
• GCD of 505, 756, 263, 911
• GCD of 919, 426, 163, 295
• GCD of 916, 432, 414, 413
• GCD of 221, 355, 991, 571

Given numbers are 204, 801, 744, 270
The greatest common divisor of numbers 204, 801, 744, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 801, 744, 270 is 3.

1. What is the GCD of 204, 801, 744, 270?

GCD of given numbers 204, 801, 744, 270 is 3

2. How to calculate the greatest common divisor of 204, 801, 744, 270?

We can find the highest common divisor of 204, 801, 744, 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 204, 801, 744, 270 i.e 3.

3. How can I use the GCD of 204, 801, 744, 270Calculator?

Out the numbers 204, 801, 744, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.