GCD of 476, 106, 198, 984 Calculator

Given Input numbers are 476, 106, 198, 984

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

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 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (476, 106, 198, 984) = 2.

Given numbers are 476, 106, 198, 984

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 106 are 2 x 53

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

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 476, 106, 198, 984 is 2.

Given numbers are 476, 106, 198, 984

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

Apply this formula for all numbers.

Step1:

LCM(476, 106) = 25228

GCD(476, 106) = ( 476 x 106 ) / 25228

= 476 / 106

= 476

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

Step3:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

So, Greatest Common Divisor of 476, 106, 198, 984 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 638, 364, 131
• GCD of 879, 932, 291, 513
• GCD of 354, 975, 830, 158
• GCD of 260, 487, 368, 951
• GCD of 106, 107, 715, 624

Given numbers are 476, 106, 198, 984
The greatest common divisor of numbers 476, 106, 198, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 106, 198, 984 is 2.

1. What is the GCD of 476, 106, 198, 984?

GCD of given numbers 476, 106, 198, 984 is 2

2. How to calculate the greatest common divisor of 476, 106, 198, 984?

We can find the highest common divisor of 476, 106, 198, 984 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 476, 106, 198, 984 i.e 2.

3. How can I use the GCD of 476, 106, 198, 984Calculator?

Out the numbers 476, 106, 198, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.