GCD of 996, 752, 178, 252 Calculator

Given Input numbers are 996, 752, 178, 252

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (996, 752, 178, 252) = 2.

Given numbers are 996, 752, 178, 252

The list of prime factors of all numbers are

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

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 178 are 2 x 89

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 996, 752, 178, 252 is 2.

Given numbers are 996, 752, 178, 252

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

Apply this formula for all numbers.

Step1:

LCM(996, 752) = 187248

GCD(996, 752) = ( 996 x 752 ) / 187248

= 996 / 752

= 996

Step2:

LCM(4, 178) = 356

GCD(4, 178) = ( 4 x 178 ) / 356

= 4 / 178

= 4

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 996, 752, 178, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 477, 988, 313
• GCD of 193, 852, 941, 881
• GCD of 194, 364, 905, 214
• GCD of 611, 596, 337, 887
• GCD of 249, 550, 387, 150

Given numbers are 996, 752, 178, 252
The greatest common divisor of numbers 996, 752, 178, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 752, 178, 252 is 2.

1. What is the GCD of 996, 752, 178, 252?

GCD of given numbers 996, 752, 178, 252 is 2

2. How to calculate the greatest common divisor of 996, 752, 178, 252?

We can find the highest common divisor of 996, 752, 178, 252 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, 752, 178, 252 i.e 2.

3. How can I use the GCD of 996, 752, 178, 252Calculator?

Out the numbers 996, 752, 178, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.