GCD of 198, 185, 343, 820 Calculator

Given Input numbers are 198, 185, 343, 820

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 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (198, 185, 343, 820) = 1.

Given numbers are 198, 185, 343, 820

The list of prime factors of all numbers are

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

Prime factors of 185 are 5 x 37

Prime factors of 343 are 7 x 7 x 7

Prime factors of 820 are 2 x 2 x 5 x 41

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

Given numbers are 198, 185, 343, 820

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

Apply this formula for all numbers.

Step1:

LCM(198, 185) = 36630

GCD(198, 185) = ( 198 x 185 ) / 36630

= 198 / 185

= 198

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

So, Greatest Common Divisor of 198, 185, 343, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 330, 639, 958
• GCD of 453, 263, 666, 486
• GCD of 602, 558, 559, 803
• GCD of 988, 701, 395, 374
• GCD of 661, 794, 162, 540

Given numbers are 198, 185, 343, 820
The greatest common divisor of numbers 198, 185, 343, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 185, 343, 820 is 1.

1. What is the GCD of 198, 185, 343, 820?

GCD of given numbers 198, 185, 343, 820 is 1

2. How to calculate the greatest common divisor of 198, 185, 343, 820?

We can find the highest common divisor of 198, 185, 343, 820 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, 185, 343, 820 i.e 1.

3. How can I use the GCD of 198, 185, 343, 820Calculator?

Out the numbers 198, 185, 343, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.