GCD of 548, 728, 311, 198 Calculator

Given Input numbers are 548, 728, 311, 198

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

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 (548, 728, 311, 198) = 1.

Given numbers are 548, 728, 311, 198

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 311 are 311

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

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

Given numbers are 548, 728, 311, 198

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

Apply this formula for all numbers.

Step1:

LCM(548, 728) = 99736

GCD(548, 728) = ( 548 x 728 ) / 99736

= 548 / 728

= 548

Step2:

LCM(4, 311) = 1244

GCD(4, 311) = ( 4 x 311 ) / 1244

= 4 / 311

= 4

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 548, 728, 311, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 762, 328, 185
• GCD of 868, 633, 661, 548
• GCD of 227, 528, 159, 461
• GCD of 550, 182, 599, 251
• GCD of 783, 776, 245, 798

Given numbers are 548, 728, 311, 198
The greatest common divisor of numbers 548, 728, 311, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 728, 311, 198 is 1.

1. What is the GCD of 548, 728, 311, 198?

GCD of given numbers 548, 728, 311, 198 is 1

2. How to calculate the greatest common divisor of 548, 728, 311, 198?

We can find the highest common divisor of 548, 728, 311, 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 548, 728, 311, 198 i.e 1.

3. How can I use the GCD of 548, 728, 311, 198Calculator?

Out the numbers 548, 728, 311, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.