GCD of 384, 222, 270, 175 Calculator

Given Input numbers are 384, 222, 270, 175

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

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 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

GCD of numbers is the greatest common divisor

So, the GCD (384, 222, 270, 175) = 1.

Given numbers are 384, 222, 270, 175

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 222 are 2 x 3 x 37

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

Prime factors of 175 are 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 384, 222, 270, 175

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

Apply this formula for all numbers.

Step1:

LCM(384, 222) = 14208

GCD(384, 222) = ( 384 x 222 ) / 14208

= 384 / 222

= 384

Step2:

LCM(6, 270) = 270

GCD(6, 270) = ( 6 x 270 ) / 270

= 6 / 270

= 6

Step3:

LCM(6, 175) = 1050

GCD(6, 175) = ( 6 x 175 ) / 1050

= 6 / 175

= 6

So, Greatest Common Divisor of 384, 222, 270, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 812, 212, 188
• GCD of 647, 356, 407, 603
• GCD of 224, 950, 768, 122
• GCD of 239, 262, 500, 980
• GCD of 701, 633, 333, 458

Given numbers are 384, 222, 270, 175
The greatest common divisor of numbers 384, 222, 270, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 222, 270, 175 is 1.

1. What is the GCD of 384, 222, 270, 175?

GCD of given numbers 384, 222, 270, 175 is 1

2. How to calculate the greatest common divisor of 384, 222, 270, 175?

We can find the highest common divisor of 384, 222, 270, 175 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 384, 222, 270, 175 i.e 1.

3. How can I use the GCD of 384, 222, 270, 175Calculator?

Out the numbers 384, 222, 270, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.