GCD of 198, 948, 450, 543 Calculator

Given Input numbers are 198, 948, 450, 543

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 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (198, 948, 450, 543) = 3.

Given numbers are 198, 948, 450, 543

The list of prime factors of all numbers are

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

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 543 are 3 x 181

The highest common occurrence is 3¹

Therefore, GCD of 198, 948, 450, 543 is 3.

Given numbers are 198, 948, 450, 543

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

Apply this formula for all numbers.

Step1:

LCM(198, 948) = 31284

GCD(198, 948) = ( 198 x 948 ) / 31284

= 198 / 948

= 198

Step2:

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

= 6 / 450

= 6

Step3:

LCM(6, 543) = 1086

GCD(6, 543) = ( 6 x 543 ) / 1086

= 6 / 543

= 6

So, Greatest Common Divisor of 198, 948, 450, 543 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 900, 724, 604
• GCD of 674, 601, 590, 744
• GCD of 973, 384, 254, 729
• GCD of 990, 411, 712, 445
• GCD of 901, 517, 128, 526

Given numbers are 198, 948, 450, 543
The greatest common divisor of numbers 198, 948, 450, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 948, 450, 543 is 3.

1. What is the GCD of 198, 948, 450, 543?

GCD of given numbers 198, 948, 450, 543 is 3

2. How to calculate the greatest common divisor of 198, 948, 450, 543?

We can find the highest common divisor of 198, 948, 450, 543 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, 948, 450, 543 i.e 3.

3. How can I use the GCD of 198, 948, 450, 543Calculator?

Out the numbers 198, 948, 450, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.