GCD of 162, 996, 357, 900 Calculator

Given Input numbers are 162, 996, 357, 900

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 996 :

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

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (162, 996, 357, 900) = 3.

Given numbers are 162, 996, 357, 900

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 996 are 2 x 2 x 3 x 83

Prime factors of 357 are 3 x 7 x 17

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 162, 996, 357, 900 is 3.

Given numbers are 162, 996, 357, 900

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

Apply this formula for all numbers.

Step1:

LCM(162, 996) = 26892

GCD(162, 996) = ( 162 x 996 ) / 26892

= 162 / 996

= 162

Step2:

LCM(6, 357) = 714

GCD(6, 357) = ( 6 x 357 ) / 714

= 6 / 357

= 6

Step3:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

So, Greatest Common Divisor of 162, 996, 357, 900 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 145, 504, 252
• GCD of 892, 297, 804, 997
• GCD of 580, 611, 559, 121
• GCD of 882, 527, 537, 353
• GCD of 599, 152, 710, 678

Given numbers are 162, 996, 357, 900
The greatest common divisor of numbers 162, 996, 357, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 996, 357, 900 is 3.

1. What is the GCD of 162, 996, 357, 900?

GCD of given numbers 162, 996, 357, 900 is 3

2. How to calculate the greatest common divisor of 162, 996, 357, 900?

We can find the highest common divisor of 162, 996, 357, 900 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, 996, 357, 900 i.e 3.

3. How can I use the GCD of 162, 996, 357, 900Calculator?

Out the numbers 162, 996, 357, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.