GCD of 144, 232, 261, 756 Calculator

Given Input numbers are 144, 232, 261, 756

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (144, 232, 261, 756) = 1.

Given numbers are 144, 232, 261, 756

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 232 are 2 x 2 x 2 x 29

Prime factors of 261 are 3 x 3 x 29

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

Given numbers are 144, 232, 261, 756

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

Apply this formula for all numbers.

Step1:

LCM(144, 232) = 4176

GCD(144, 232) = ( 144 x 232 ) / 4176

= 144 / 232

= 144

Step2:

LCM(8, 261) = 2088

GCD(8, 261) = ( 8 x 261 ) / 2088

= 8 / 261

= 8

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 144, 232, 261, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 385, 479, 407
• GCD of 666, 185, 754, 587
• GCD of 407, 407, 340, 553
• GCD of 776, 772, 362, 302
• GCD of 120, 415, 803, 105

Given numbers are 144, 232, 261, 756
The greatest common divisor of numbers 144, 232, 261, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 232, 261, 756 is 1.

1. What is the GCD of 144, 232, 261, 756?

GCD of given numbers 144, 232, 261, 756 is 1

2. How to calculate the greatest common divisor of 144, 232, 261, 756?

We can find the highest common divisor of 144, 232, 261, 756 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, 232, 261, 756 i.e 1.

3. How can I use the GCD of 144, 232, 261, 756Calculator?

Out the numbers 144, 232, 261, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.