GCD of 826, 132, 810, 198 Calculator

Given Input numbers are 826, 132, 810, 198

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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

GCD of numbers is the greatest common divisor

So, the GCD (826, 132, 810, 198) = 2.

Given numbers are 826, 132, 810, 198

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 826, 132, 810, 198 is 2.

Given numbers are 826, 132, 810, 198

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

Apply this formula for all numbers.

Step1:

LCM(826, 132) = 54516

GCD(826, 132) = ( 826 x 132 ) / 54516

= 826 / 132

= 826

Step2:

LCM(2, 810) = 810

GCD(2, 810) = ( 2 x 810 ) / 810

= 2 / 810

= 2

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 826, 132, 810, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 689, 504, 430
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Given numbers are 826, 132, 810, 198
The greatest common divisor of numbers 826, 132, 810, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 132, 810, 198 is 2.

1. What is the GCD of 826, 132, 810, 198?

GCD of given numbers 826, 132, 810, 198 is 2

2. How to calculate the greatest common divisor of 826, 132, 810, 198?

We can find the highest common divisor of 826, 132, 810, 198 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 826, 132, 810, 198 i.e 2.

3. How can I use the GCD of 826, 132, 810, 198Calculator?

Out the numbers 826, 132, 810, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.