GCD of 135, 648, 803, 966 Calculator

Given Input numbers are 135, 648, 803, 966

In the factoring method, we have to find the divisors of all numbers

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

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 (135, 648, 803, 966) = 1.

Given numbers are 135, 648, 803, 966

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 803 are 11 x 73

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 135, 648, 803, 966

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

Apply this formula for all numbers.

Step1:

LCM(135, 648) = 3240

GCD(135, 648) = ( 135 x 648 ) / 3240

= 135 / 648

= 135

Step2:

LCM(27, 803) = 21681

GCD(27, 803) = ( 27 x 803 ) / 21681

= 27 / 803

= 27

Step3:

LCM(1, 966) = 966

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

= 1 / 966

= 1

So, Greatest Common Divisor of 135, 648, 803, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 338, 794, 517
• GCD of 300, 747, 179, 901
• GCD of 480, 487, 939, 964
• GCD of 326, 436, 169, 776
• GCD of 630, 542, 292, 577

Given numbers are 135, 648, 803, 966
The greatest common divisor of numbers 135, 648, 803, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 648, 803, 966 is 1.

1. What is the GCD of 135, 648, 803, 966?

GCD of given numbers 135, 648, 803, 966 is 1

2. How to calculate the greatest common divisor of 135, 648, 803, 966?

We can find the highest common divisor of 135, 648, 803, 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 135, 648, 803, 966 i.e 1.

3. How can I use the GCD of 135, 648, 803, 966Calculator?

Out the numbers 135, 648, 803, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.