GCD of 195, 549, 828, 882 Calculator

Given Input numbers are 195, 549, 828, 882

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (195, 549, 828, 882) = 3.

Given numbers are 195, 549, 828, 882

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 549 are 3 x 3 x 61

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 195, 549, 828, 882 is 3.

Given numbers are 195, 549, 828, 882

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

Apply this formula for all numbers.

Step1:

LCM(195, 549) = 35685

GCD(195, 549) = ( 195 x 549 ) / 35685

= 195 / 549

= 195

Step2:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

Step3:

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

= 3 / 882

= 3

So, Greatest Common Divisor of 195, 549, 828, 882 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 124, 397, 317
• GCD of 298, 791, 234, 813
• GCD of 242, 475, 671, 920
• GCD of 440, 104, 456, 919
• GCD of 866, 747, 881, 276

Given numbers are 195, 549, 828, 882
The greatest common divisor of numbers 195, 549, 828, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 549, 828, 882 is 3.

1. What is the GCD of 195, 549, 828, 882?

GCD of given numbers 195, 549, 828, 882 is 3

2. How to calculate the greatest common divisor of 195, 549, 828, 882?

We can find the highest common divisor of 195, 549, 828, 882 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 195, 549, 828, 882 i.e 3.

3. How can I use the GCD of 195, 549, 828, 882Calculator?

Out the numbers 195, 549, 828, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.