GCD of 270, 444, 120, 354 Calculator

Given Input numbers are 270, 444, 120, 354

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 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (270, 444, 120, 354) = 6.

Given numbers are 270, 444, 120, 354

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 444 are 2 x 2 x 3 x 37

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 270, 444, 120, 354 is 6.

Given numbers are 270, 444, 120, 354

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

Apply this formula for all numbers.

Step1:

LCM(270, 444) = 19980

GCD(270, 444) = ( 270 x 444 ) / 19980

= 270 / 444

= 270

Step2:

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

= 6 / 120

= 6

Step3:

LCM(6, 354) = 354

GCD(6, 354) = ( 6 x 354 ) / 354

= 6 / 354

= 6

So, Greatest Common Divisor of 270, 444, 120, 354 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 935, 313, 375
• GCD of 963, 717, 533, 897
• GCD of 204, 948, 894, 233
• GCD of 726, 793, 480, 278
• GCD of 732, 411, 671, 711

Given numbers are 270, 444, 120, 354
The greatest common divisor of numbers 270, 444, 120, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 444, 120, 354 is 6.

1. What is the GCD of 270, 444, 120, 354?

GCD of given numbers 270, 444, 120, 354 is 6

2. How to calculate the greatest common divisor of 270, 444, 120, 354?

We can find the highest common divisor of 270, 444, 120, 354 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, 444, 120, 354 i.e 6.

3. How can I use the GCD of 270, 444, 120, 354Calculator?

Out the numbers 270, 444, 120, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.