GCD of 198, 359, 731, 823 Calculator

Given Input numbers are 198, 359, 731, 823

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 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (198, 359, 731, 823) = 1.

Given numbers are 198, 359, 731, 823

The list of prime factors of all numbers are

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

Prime factors of 359 are 359

Prime factors of 731 are 17 x 43

Prime factors of 823 are 823

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

Given numbers are 198, 359, 731, 823

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

Apply this formula for all numbers.

Step1:

LCM(198, 359) = 71082

GCD(198, 359) = ( 198 x 359 ) / 71082

= 198 / 359

= 198

Step2:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1

Step3:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1

So, Greatest Common Divisor of 198, 359, 731, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 207, 980, 348
• GCD of 541, 765, 292, 638
• GCD of 473, 407, 936, 552
• GCD of 991, 945, 518, 415
• GCD of 118, 496, 805, 539

Given numbers are 198, 359, 731, 823
The greatest common divisor of numbers 198, 359, 731, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 359, 731, 823 is 1.

1. What is the GCD of 198, 359, 731, 823?

GCD of given numbers 198, 359, 731, 823 is 1

2. How to calculate the greatest common divisor of 198, 359, 731, 823?

We can find the highest common divisor of 198, 359, 731, 823 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, 359, 731, 823 i.e 1.

3. How can I use the GCD of 198, 359, 731, 823Calculator?

Out the numbers 198, 359, 731, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.