GCD of 435, 164, 189, 288 Calculator

Given Input numbers are 435, 164, 189, 288

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (435, 164, 189, 288) = 1.

Given numbers are 435, 164, 189, 288

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 164 are 2 x 2 x 41

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 435, 164, 189, 288

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

Apply this formula for all numbers.

Step1:

LCM(435, 164) = 71340

GCD(435, 164) = ( 435 x 164 ) / 71340

= 435 / 164

= 435

Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 435, 164, 189, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 786, 356, 310
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Given numbers are 435, 164, 189, 288
The greatest common divisor of numbers 435, 164, 189, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 164, 189, 288 is 1.

1. What is the GCD of 435, 164, 189, 288?

GCD of given numbers 435, 164, 189, 288 is 1

2. How to calculate the greatest common divisor of 435, 164, 189, 288?

We can find the highest common divisor of 435, 164, 189, 288 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 435, 164, 189, 288 i.e 1.

3. How can I use the GCD of 435, 164, 189, 288Calculator?

Out the numbers 435, 164, 189, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.