GCD of 198, 837, 743, 354 Calculator

Given Input numbers are 198, 837, 743, 354

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 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (198, 837, 743, 354) = 1.

Given numbers are 198, 837, 743, 354

The list of prime factors of all numbers are

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

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 743 are 743

Prime factors of 354 are 2 x 3 x 59

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

Given numbers are 198, 837, 743, 354

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

Apply this formula for all numbers.

Step1:

LCM(198, 837) = 18414

GCD(198, 837) = ( 198 x 837 ) / 18414

= 198 / 837

= 198

Step2:

LCM(9, 743) = 6687

GCD(9, 743) = ( 9 x 743 ) / 6687

= 9 / 743

= 9

Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1

So, Greatest Common Divisor of 198, 837, 743, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 863, 218, 143
• GCD of 121, 434, 382, 285
• GCD of 681, 544, 639, 177
• GCD of 206, 926, 802, 244
• GCD of 772, 180, 697, 533

Given numbers are 198, 837, 743, 354
The greatest common divisor of numbers 198, 837, 743, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 837, 743, 354 is 1.

1. What is the GCD of 198, 837, 743, 354?

GCD of given numbers 198, 837, 743, 354 is 1

2. How to calculate the greatest common divisor of 198, 837, 743, 354?

We can find the highest common divisor of 198, 837, 743, 354 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, 837, 743, 354 i.e 1.

3. How can I use the GCD of 198, 837, 743, 354Calculator?

Out the numbers 198, 837, 743, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.