GCD of 144, 200, 181, 289 Calculator

Given Input numbers are 144, 200, 181, 289

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 181 :

The positive integer divisors of 181 that completely divides 181 are.

1, 181

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (144, 200, 181, 289) = 1.

Given numbers are 144, 200, 181, 289

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 181 are 181

Prime factors of 289 are 17 x 17

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

Given numbers are 144, 200, 181, 289

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

Apply this formula for all numbers.

Step1:

LCM(144, 200) = 3600

GCD(144, 200) = ( 144 x 200 ) / 3600

= 144 / 200

= 144

Step2:

LCM(8, 181) = 1448

GCD(8, 181) = ( 8 x 181 ) / 1448

= 8 / 181

= 8

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 144, 200, 181, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 525, 634, 773
• GCD of 694, 989, 161, 797
• GCD of 577, 749, 431, 360
• GCD of 824, 144, 122, 385
• GCD of 887, 109, 333, 881

Given numbers are 144, 200, 181, 289
The greatest common divisor of numbers 144, 200, 181, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 200, 181, 289 is 1.

1. What is the GCD of 144, 200, 181, 289?

GCD of given numbers 144, 200, 181, 289 is 1

2. How to calculate the greatest common divisor of 144, 200, 181, 289?

We can find the highest common divisor of 144, 200, 181, 289 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 144, 200, 181, 289 i.e 1.

3. How can I use the GCD of 144, 200, 181, 289Calculator?

Out the numbers 144, 200, 181, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.