GCD of 924, 546, 998, 476 Calculator

Given Input numbers are 924, 546, 998, 476

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

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

GCD of numbers is the greatest common divisor

So, the GCD (924, 546, 998, 476) = 2.

Given numbers are 924, 546, 998, 476

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 998 are 2 x 499

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

The highest common occurrence is 2¹

Therefore, GCD of 924, 546, 998, 476 is 2.

Given numbers are 924, 546, 998, 476

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

Apply this formula for all numbers.

Step1:

LCM(924, 546) = 12012

GCD(924, 546) = ( 924 x 546 ) / 12012

= 924 / 546

= 924

Step2:

LCM(42, 998) = 20958

GCD(42, 998) = ( 42 x 998 ) / 20958

= 42 / 998

= 42

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 924, 546, 998, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 246, 315, 537
• GCD of 713, 898, 207, 932
• GCD of 693, 403, 543, 730
• GCD of 294, 368, 538, 196
• GCD of 943, 986, 829, 417

Given numbers are 924, 546, 998, 476
The greatest common divisor of numbers 924, 546, 998, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 546, 998, 476 is 2.

1. What is the GCD of 924, 546, 998, 476?

GCD of given numbers 924, 546, 998, 476 is 2

2. How to calculate the greatest common divisor of 924, 546, 998, 476?

We can find the highest common divisor of 924, 546, 998, 476 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 924, 546, 998, 476 i.e 2.

3. How can I use the GCD of 924, 546, 998, 476Calculator?

Out the numbers 924, 546, 998, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.