GCD of 144, 464, 725, 966 Calculator

Given Input numbers are 144, 464, 725, 966

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (144, 464, 725, 966) = 1.

Given numbers are 144, 464, 725, 966

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 725 are 5 x 5 x 29

Prime factors of 966 are 2 x 3 x 7 x 23

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

Given numbers are 144, 464, 725, 966

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

Apply this formula for all numbers.

Step1:

LCM(144, 464) = 4176

GCD(144, 464) = ( 144 x 464 ) / 4176

= 144 / 464

= 144

Step2:

LCM(16, 725) = 11600

GCD(16, 725) = ( 16 x 725 ) / 11600

= 16 / 725

= 16

Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

So, Greatest Common Divisor of 144, 464, 725, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 987, 539, 818
• GCD of 513, 435, 872, 219
• GCD of 653, 467, 650, 741
• GCD of 581, 557, 409, 994
• GCD of 732, 377, 211, 801

Given numbers are 144, 464, 725, 966
The greatest common divisor of numbers 144, 464, 725, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 464, 725, 966 is 1.

1. What is the GCD of 144, 464, 725, 966?

GCD of given numbers 144, 464, 725, 966 is 1

2. How to calculate the greatest common divisor of 144, 464, 725, 966?

We can find the highest common divisor of 144, 464, 725, 966 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, 464, 725, 966 i.e 1.

3. How can I use the GCD of 144, 464, 725, 966Calculator?

Out the numbers 144, 464, 725, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.