GCD of 996, 644, 478, 916 Calculator

Given Input numbers are 996, 644, 478, 916

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (996, 644, 478, 916) = 2.

Given numbers are 996, 644, 478, 916

The list of prime factors of all numbers are

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

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 478 are 2 x 239

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 996, 644, 478, 916 is 2.

Given numbers are 996, 644, 478, 916

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

Apply this formula for all numbers.

Step1:

LCM(996, 644) = 160356

GCD(996, 644) = ( 996 x 644 ) / 160356

= 996 / 644

= 996

Step2:

LCM(4, 478) = 956

GCD(4, 478) = ( 4 x 478 ) / 956

= 4 / 478

= 4

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 996, 644, 478, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 795, 209, 833
• GCD of 526, 622, 450, 909
• GCD of 985, 785, 695, 327
• GCD of 385, 302, 766, 748
• GCD of 784, 624, 835, 522

Given numbers are 996, 644, 478, 916
The greatest common divisor of numbers 996, 644, 478, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 644, 478, 916 is 2.

1. What is the GCD of 996, 644, 478, 916?

GCD of given numbers 996, 644, 478, 916 is 2

2. How to calculate the greatest common divisor of 996, 644, 478, 916?

We can find the highest common divisor of 996, 644, 478, 916 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, 644, 478, 916 i.e 2.

3. How can I use the GCD of 996, 644, 478, 916Calculator?

Out the numbers 996, 644, 478, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.