GCD of 162, 735, 804, 996 Calculator

Given Input numbers are 162, 735, 804, 996

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (162, 735, 804, 996) = 3.

Given numbers are 162, 735, 804, 996

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 162, 735, 804, 996 is 3.

Given numbers are 162, 735, 804, 996

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

Apply this formula for all numbers.

Step1:

LCM(162, 735) = 39690

GCD(162, 735) = ( 162 x 735 ) / 39690

= 162 / 735

= 162

Step2:

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

= 3 / 804

= 3

Step3:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

So, Greatest Common Divisor of 162, 735, 804, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 382, 511, 249
• GCD of 578, 532, 790, 132
• GCD of 644, 194, 907, 114
• GCD of 395, 832, 466, 384
• GCD of 461, 201, 829, 676

Given numbers are 162, 735, 804, 996
The greatest common divisor of numbers 162, 735, 804, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 735, 804, 996 is 3.

1. What is the GCD of 162, 735, 804, 996?

GCD of given numbers 162, 735, 804, 996 is 3

2. How to calculate the greatest common divisor of 162, 735, 804, 996?

We can find the highest common divisor of 162, 735, 804, 996 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 162, 735, 804, 996 i.e 3.

3. How can I use the GCD of 162, 735, 804, 996Calculator?

Out the numbers 162, 735, 804, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.