GCD of 412, 984, 864, 788 Calculator

Given Input numbers are 412, 984, 864, 788

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (412, 984, 864, 788) = 4.

Given numbers are 412, 984, 864, 788

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2²

Therefore, GCD of 412, 984, 864, 788 is 4.

Given numbers are 412, 984, 864, 788

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

Apply this formula for all numbers.

Step1:

LCM(412, 984) = 101352

GCD(412, 984) = ( 412 x 984 ) / 101352

= 412 / 984

= 412

Step2:

LCM(4, 864) = 864

GCD(4, 864) = ( 4 x 864 ) / 864

= 4 / 864

= 4

Step3:

LCM(4, 788) = 788

GCD(4, 788) = ( 4 x 788 ) / 788

= 4 / 788

= 4

So, Greatest Common Divisor of 412, 984, 864, 788 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 291, 139, 183
• GCD of 987, 690, 633, 761
• GCD of 776, 150, 579, 119
• GCD of 521, 949, 482, 139
• GCD of 710, 192, 129, 791

Given numbers are 412, 984, 864, 788
The greatest common divisor of numbers 412, 984, 864, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 984, 864, 788 is 4.

1. What is the GCD of 412, 984, 864, 788?

GCD of given numbers 412, 984, 864, 788 is 4

2. How to calculate the greatest common divisor of 412, 984, 864, 788?

We can find the highest common divisor of 412, 984, 864, 788 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 412, 984, 864, 788 i.e 4.

3. How can I use the GCD of 412, 984, 864, 788Calculator?

Out the numbers 412, 984, 864, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.