GCD of 996, 780, 112, 692 Calculator

Given Input numbers are 996, 780, 112, 692

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (996, 780, 112, 692) = 4.

Given numbers are 996, 780, 112, 692

The list of prime factors of all numbers are

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

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2²

Therefore, GCD of 996, 780, 112, 692 is 4.

Given numbers are 996, 780, 112, 692

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

Apply this formula for all numbers.

Step1:

LCM(996, 780) = 64740

GCD(996, 780) = ( 996 x 780 ) / 64740

= 996 / 780

= 996

Step2:

LCM(12, 112) = 336

GCD(12, 112) = ( 12 x 112 ) / 336

= 12 / 112

= 12

Step3:

LCM(4, 692) = 692

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

= 4 / 692

= 4

So, Greatest Common Divisor of 996, 780, 112, 692 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 449, 223, 908
• GCD of 213, 270, 828, 651
• GCD of 465, 809, 381, 164
• GCD of 857, 222, 441, 942
• GCD of 224, 723, 506, 236

Given numbers are 996, 780, 112, 692
The greatest common divisor of numbers 996, 780, 112, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 780, 112, 692 is 4.

1. What is the GCD of 996, 780, 112, 692?

GCD of given numbers 996, 780, 112, 692 is 4

2. How to calculate the greatest common divisor of 996, 780, 112, 692?

We can find the highest common divisor of 996, 780, 112, 692 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, 780, 112, 692 i.e 4.

3. How can I use the GCD of 996, 780, 112, 692Calculator?

Out the numbers 996, 780, 112, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.