GCD of 828, 198, 554, 564 Calculator

Given Input numbers are 828, 198, 554, 564

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

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 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 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (828, 198, 554, 564) = 2.

Given numbers are 828, 198, 554, 564

The list of prime factors of all numbers are

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

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

Prime factors of 554 are 2 x 277

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 828, 198, 554, 564 is 2.

Given numbers are 828, 198, 554, 564

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

Apply this formula for all numbers.

Step1:

LCM(828, 198) = 9108

GCD(828, 198) = ( 828 x 198 ) / 9108

= 828 / 198

= 828

Step2:

LCM(18, 554) = 4986

GCD(18, 554) = ( 18 x 554 ) / 4986

= 18 / 554

= 18

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 828, 198, 554, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 421, 785, 724
• GCD of 699, 505, 352, 121
• GCD of 881, 507, 439, 935
• GCD of 395, 140, 976, 913
• GCD of 792, 394, 975, 138

Given numbers are 828, 198, 554, 564
The greatest common divisor of numbers 828, 198, 554, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 198, 554, 564 is 2.

1. What is the GCD of 828, 198, 554, 564?

GCD of given numbers 828, 198, 554, 564 is 2

2. How to calculate the greatest common divisor of 828, 198, 554, 564?

We can find the highest common divisor of 828, 198, 554, 564 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 828, 198, 554, 564 i.e 2.

3. How can I use the GCD of 828, 198, 554, 564Calculator?

Out the numbers 828, 198, 554, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.