GCD of 996, 176, 692, 504 Calculator

Given Input numbers are 996, 176, 692, 504

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (996, 176, 692, 504) = 4.

Given numbers are 996, 176, 692, 504

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 692 are 2 x 2 x 173

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2²

Therefore, GCD of 996, 176, 692, 504 is 4.

Given numbers are 996, 176, 692, 504

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

Apply this formula for all numbers.

Step1:

LCM(996, 176) = 43824

GCD(996, 176) = ( 996 x 176 ) / 43824

= 996 / 176

= 996

Step2:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

Step3:

LCM(4, 504) = 504

GCD(4, 504) = ( 4 x 504 ) / 504

= 4 / 504

= 4

So, Greatest Common Divisor of 996, 176, 692, 504 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 524, 483, 966
• GCD of 207, 513, 920, 331
• GCD of 240, 885, 571, 612
• GCD of 345, 668, 758, 732
• GCD of 215, 151, 580, 792

Given numbers are 996, 176, 692, 504
The greatest common divisor of numbers 996, 176, 692, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 176, 692, 504 is 4.

1. What is the GCD of 996, 176, 692, 504?

GCD of given numbers 996, 176, 692, 504 is 4

2. How to calculate the greatest common divisor of 996, 176, 692, 504?

We can find the highest common divisor of 996, 176, 692, 504 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 996, 176, 692, 504 i.e 4.

3. How can I use the GCD of 996, 176, 692, 504Calculator?

Out the numbers 996, 176, 692, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.