GCD of 348, 939, 822, 198 Calculator

Given Input numbers are 348, 939, 822, 198

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

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

GCD of numbers is the greatest common divisor

So, the GCD (348, 939, 822, 198) = 3.

Given numbers are 348, 939, 822, 198

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 939 are 3 x 313

Prime factors of 822 are 2 x 3 x 137

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

The highest common occurrence is 3¹

Therefore, GCD of 348, 939, 822, 198 is 3.

Given numbers are 348, 939, 822, 198

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

Apply this formula for all numbers.

Step1:

LCM(348, 939) = 108924

GCD(348, 939) = ( 348 x 939 ) / 108924

= 348 / 939

= 348

Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

Step3:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

So, Greatest Common Divisor of 348, 939, 822, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 465, 540, 767
• GCD of 229, 687, 247, 980
• GCD of 804, 878, 118, 671
• GCD of 222, 909, 983, 565
• GCD of 832, 764, 518, 828

Given numbers are 348, 939, 822, 198
The greatest common divisor of numbers 348, 939, 822, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 939, 822, 198 is 3.

1. What is the GCD of 348, 939, 822, 198?

GCD of given numbers 348, 939, 822, 198 is 3

2. How to calculate the greatest common divisor of 348, 939, 822, 198?

We can find the highest common divisor of 348, 939, 822, 198 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 348, 939, 822, 198 i.e 3.

3. How can I use the GCD of 348, 939, 822, 198Calculator?

Out the numbers 348, 939, 822, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.