GCD of 144, 891, 134, 480 Calculator

Given Input numbers are 144, 891, 134, 480

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 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (144, 891, 134, 480) = 1.

Given numbers are 144, 891, 134, 480

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 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 134 are 2 x 67

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 144, 891, 134, 480

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

Apply this formula for all numbers.

Step1:

LCM(144, 891) = 14256

GCD(144, 891) = ( 144 x 891 ) / 14256

= 144 / 891

= 144

Step2:

LCM(9, 134) = 1206

GCD(9, 134) = ( 9 x 134 ) / 1206

= 9 / 134

= 9

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 144, 891, 134, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 278, 885, 997
• GCD of 407, 662, 864, 658
• GCD of 899, 631, 501, 842
• GCD of 796, 652, 634, 844
• GCD of 269, 268, 763, 423

Given numbers are 144, 891, 134, 480
The greatest common divisor of numbers 144, 891, 134, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 891, 134, 480 is 1.

1. What is the GCD of 144, 891, 134, 480?

GCD of given numbers 144, 891, 134, 480 is 1

2. How to calculate the greatest common divisor of 144, 891, 134, 480?

We can find the highest common divisor of 144, 891, 134, 480 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, 891, 134, 480 i.e 1.

3. How can I use the GCD of 144, 891, 134, 480Calculator?

Out the numbers 144, 891, 134, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.