GCD of 144, 299, 307, 764 Calculator

Given Input numbers are 144, 299, 307, 764

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 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (144, 299, 307, 764) = 1.

Given numbers are 144, 299, 307, 764

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 299 are 13 x 23

Prime factors of 307 are 307

Prime factors of 764 are 2 x 2 x 191

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

Given numbers are 144, 299, 307, 764

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

Apply this formula for all numbers.

Step1:

LCM(144, 299) = 43056

GCD(144, 299) = ( 144 x 299 ) / 43056

= 144 / 299

= 144

Step2:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

Step3:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1

So, Greatest Common Divisor of 144, 299, 307, 764 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 451, 542, 100
• GCD of 176, 373, 702, 609
• GCD of 138, 610, 715, 517
• GCD of 579, 957, 985, 480
• GCD of 205, 723, 214, 776

Given numbers are 144, 299, 307, 764
The greatest common divisor of numbers 144, 299, 307, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 299, 307, 764 is 1.

1. What is the GCD of 144, 299, 307, 764?

GCD of given numbers 144, 299, 307, 764 is 1

2. How to calculate the greatest common divisor of 144, 299, 307, 764?

We can find the highest common divisor of 144, 299, 307, 764 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, 299, 307, 764 i.e 1.

3. How can I use the GCD of 144, 299, 307, 764Calculator?

Out the numbers 144, 299, 307, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.