GCD of 144, 201, 689 Calculator

Given Input numbers are 144, 201, 689

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 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (144, 201, 689) = 1.

Given numbers are 144, 201, 689

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 201 are 3 x 67

Prime factors of 689 are 13 x 53

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

Given numbers are 144, 201, 689

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

Apply this formula for all numbers.

Step1:

LCM(144, 201) = 9648

GCD(144, 201) = ( 144 x 201 ) / 9648

= 144 / 201

= 144

Step2:

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

= 3 / 689

= 3

So, Greatest Common Divisor of 144, 201, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 473, 666
• GCD of 627, 186, 157
• GCD of 139, 463, 425
• GCD of 271, 332, 800
• GCD of 859, 157, 272

Given numbers are 144, 201, 689
The greatest common divisor of numbers 144, 201, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 201, 689 is 1.

1. What is the GCD of 144, 201, 689?

GCD of given numbers 144, 201, 689 is 1

2. How to calculate the greatest common divisor of 144, 201, 689?

We can find the highest common divisor of 144, 201, 689 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, 201, 689 i.e 1.

3. How can I use the GCD of 144, 201, 689Calculator?

Out the numbers 144, 201, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.