GCD of 144, 423, 964, 614 Calculator

Given Input numbers are 144, 423, 964, 614

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 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (144, 423, 964, 614) = 1.

Given numbers are 144, 423, 964, 614

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 423 are 3 x 3 x 47

Prime factors of 964 are 2 x 2 x 241

Prime factors of 614 are 2 x 307

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

Given numbers are 144, 423, 964, 614

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

Apply this formula for all numbers.

Step1:

LCM(144, 423) = 6768

GCD(144, 423) = ( 144 x 423 ) / 6768

= 144 / 423

= 144

Step2:

LCM(9, 964) = 8676

GCD(9, 964) = ( 9 x 964 ) / 8676

= 9 / 964

= 9

Step3:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1

So, Greatest Common Divisor of 144, 423, 964, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 294, 427, 343
• GCD of 373, 161, 394, 594
• GCD of 256, 908, 815, 117
• GCD of 449, 609, 987, 437
• GCD of 979, 974, 174, 618

Given numbers are 144, 423, 964, 614
The greatest common divisor of numbers 144, 423, 964, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 423, 964, 614 is 1.

1. What is the GCD of 144, 423, 964, 614?

GCD of given numbers 144, 423, 964, 614 is 1

2. How to calculate the greatest common divisor of 144, 423, 964, 614?

We can find the highest common divisor of 144, 423, 964, 614 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, 423, 964, 614 i.e 1.

3. How can I use the GCD of 144, 423, 964, 614Calculator?

Out the numbers 144, 423, 964, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.