GCD of 198, 400, 574, 882 Calculator

Given Input numbers are 198, 400, 574, 882

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

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 (198, 400, 574, 882) = 2.

Given numbers are 198, 400, 574, 882

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 574 are 2 x 7 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 198, 400, 574, 882 is 2.

Given numbers are 198, 400, 574, 882

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

Apply this formula for all numbers.

Step1:

LCM(198, 400) = 39600

GCD(198, 400) = ( 198 x 400 ) / 39600

= 198 / 400

= 198

Step2:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2

Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

So, Greatest Common Divisor of 198, 400, 574, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 530, 195, 433
• GCD of 247, 415, 233, 963
• GCD of 474, 765, 555, 302
• GCD of 885, 995, 203, 585
• GCD of 294, 791, 995, 324

Given numbers are 198, 400, 574, 882
The greatest common divisor of numbers 198, 400, 574, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 400, 574, 882 is 2.

1. What is the GCD of 198, 400, 574, 882?

GCD of given numbers 198, 400, 574, 882 is 2

2. How to calculate the greatest common divisor of 198, 400, 574, 882?

We can find the highest common divisor of 198, 400, 574, 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 198, 400, 574, 882 i.e 2.

3. How can I use the GCD of 198, 400, 574, 882Calculator?

Out the numbers 198, 400, 574, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.