GCD of 198, 312, 672, 477 Calculator

Given Input numbers are 198, 312, 672, 477

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

GCD of numbers is the greatest common divisor

So, the GCD (198, 312, 672, 477) = 3.

Given numbers are 198, 312, 672, 477

The list of prime factors of all numbers are

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 477 are 3 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 198, 312, 672, 477 is 3.

Given numbers are 198, 312, 672, 477

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

Apply this formula for all numbers.

Step1:

LCM(198, 312) = 10296

GCD(198, 312) = ( 198 x 312 ) / 10296

= 198 / 312

= 198

Step2:

LCM(6, 672) = 672

GCD(6, 672) = ( 6 x 672 ) / 672

= 6 / 672

= 6

Step3:

LCM(6, 477) = 954

GCD(6, 477) = ( 6 x 477 ) / 954

= 6 / 477

= 6

So, Greatest Common Divisor of 198, 312, 672, 477 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 645, 975, 385
• GCD of 445, 512, 854, 461
• GCD of 526, 151, 160, 444
• GCD of 994, 978, 796, 363
• GCD of 222, 665, 104, 654

Given numbers are 198, 312, 672, 477
The greatest common divisor of numbers 198, 312, 672, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 312, 672, 477 is 3.

1. What is the GCD of 198, 312, 672, 477?

GCD of given numbers 198, 312, 672, 477 is 3

2. How to calculate the greatest common divisor of 198, 312, 672, 477?

We can find the highest common divisor of 198, 312, 672, 477 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, 312, 672, 477 i.e 3.

3. How can I use the GCD of 198, 312, 672, 477Calculator?

Out the numbers 198, 312, 672, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.