GCD of 728, 508, 198, 882 Calculator

Given Input numbers are 728, 508, 198, 882

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

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 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 (728, 508, 198, 882) = 2.

Given numbers are 728, 508, 198, 882

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 508 are 2 x 2 x 127

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

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

The highest common occurrence is 2¹

Therefore, GCD of 728, 508, 198, 882 is 2.

Given numbers are 728, 508, 198, 882

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

Apply this formula for all numbers.

Step1:

LCM(728, 508) = 92456

GCD(728, 508) = ( 728 x 508 ) / 92456

= 728 / 508

= 728

Step2:

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

= 4 / 198

= 4

Step3:

LCM(2, 882) = 882

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

= 2 / 882

= 2

So, Greatest Common Divisor of 728, 508, 198, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 213, 630, 691
• GCD of 308, 527, 117, 301
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• GCD of 801, 167, 197, 514

Given numbers are 728, 508, 198, 882
The greatest common divisor of numbers 728, 508, 198, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 508, 198, 882 is 2.

1. What is the GCD of 728, 508, 198, 882?

GCD of given numbers 728, 508, 198, 882 is 2

2. How to calculate the greatest common divisor of 728, 508, 198, 882?

We can find the highest common divisor of 728, 508, 198, 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 728, 508, 198, 882 i.e 2.

3. How can I use the GCD of 728, 508, 198, 882Calculator?

Out the numbers 728, 508, 198, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.