GCD of 996, 414, 776, 428 Calculator

Given Input numbers are 996, 414, 776, 428

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (996, 414, 776, 428) = 2.

Given numbers are 996, 414, 776, 428

The list of prime factors of all numbers are

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 996, 414, 776, 428 is 2.

Given numbers are 996, 414, 776, 428

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

Apply this formula for all numbers.

Step1:

LCM(996, 414) = 68724

GCD(996, 414) = ( 996 x 414 ) / 68724

= 996 / 414

= 996

Step2:

LCM(6, 776) = 2328

GCD(6, 776) = ( 6 x 776 ) / 2328

= 6 / 776

= 6

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 996, 414, 776, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 914, 249, 418
• GCD of 762, 700, 490, 558
• GCD of 707, 117, 337, 764
• GCD of 738, 301, 252, 338
• GCD of 384, 907, 596, 249

Given numbers are 996, 414, 776, 428
The greatest common divisor of numbers 996, 414, 776, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 414, 776, 428 is 2.

1. What is the GCD of 996, 414, 776, 428?

GCD of given numbers 996, 414, 776, 428 is 2

2. How to calculate the greatest common divisor of 996, 414, 776, 428?

We can find the highest common divisor of 996, 414, 776, 428 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, 414, 776, 428 i.e 2.

3. How can I use the GCD of 996, 414, 776, 428Calculator?

Out the numbers 996, 414, 776, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.