GCD of 553, 198, 360, 828 Calculator

Given Input numbers are 553, 198, 360, 828

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

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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

GCD of numbers is the greatest common divisor

So, the GCD (553, 198, 360, 828) = 1.

Given numbers are 553, 198, 360, 828

The list of prime factors of all numbers are

Prime factors of 553 are 7 x 79

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 553, 198, 360, 828

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

Apply this formula for all numbers.

Step1:

LCM(553, 198) = 109494

GCD(553, 198) = ( 553 x 198 ) / 109494

= 553 / 198

= 553

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 553, 198, 360, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 358, 214, 815
• GCD of 257, 915, 668, 504
• GCD of 107, 753, 872, 984
• GCD of 552, 270, 832, 492
• GCD of 963, 167, 375, 196

Given numbers are 553, 198, 360, 828
The greatest common divisor of numbers 553, 198, 360, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 553, 198, 360, 828 is 1.

1. What is the GCD of 553, 198, 360, 828?

GCD of given numbers 553, 198, 360, 828 is 1

2. How to calculate the greatest common divisor of 553, 198, 360, 828?

We can find the highest common divisor of 553, 198, 360, 828 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 553, 198, 360, 828 i.e 1.

3. How can I use the GCD of 553, 198, 360, 828Calculator?

Out the numbers 553, 198, 360, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.