GCD of 198, 576, 534, 746 Calculator

Given Input numbers are 198, 576, 534, 746

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (198, 576, 534, 746) = 2.

Given numbers are 198, 576, 534, 746

The list of prime factors of all numbers are

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

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 534 are 2 x 3 x 89

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 198, 576, 534, 746 is 2.

Given numbers are 198, 576, 534, 746

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

Apply this formula for all numbers.

Step1:

LCM(198, 576) = 6336

GCD(198, 576) = ( 198 x 576 ) / 6336

= 198 / 576

= 198

Step2:

LCM(18, 534) = 1602

GCD(18, 534) = ( 18 x 534 ) / 1602

= 18 / 534

= 18

Step3:

LCM(6, 746) = 2238

GCD(6, 746) = ( 6 x 746 ) / 2238

= 6 / 746

= 6

So, Greatest Common Divisor of 198, 576, 534, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 161, 426, 509
• GCD of 934, 916, 156, 360
• GCD of 249, 756, 369, 436
• GCD of 670, 686, 277, 137
• GCD of 227, 810, 204, 959

Given numbers are 198, 576, 534, 746
The greatest common divisor of numbers 198, 576, 534, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 576, 534, 746 is 2.

1. What is the GCD of 198, 576, 534, 746?

GCD of given numbers 198, 576, 534, 746 is 2

2. How to calculate the greatest common divisor of 198, 576, 534, 746?

We can find the highest common divisor of 198, 576, 534, 746 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, 576, 534, 746 i.e 2.

3. How can I use the GCD of 198, 576, 534, 746Calculator?

Out the numbers 198, 576, 534, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.