GCD of 392, 856, 596, 200 Calculator

Given Input numbers are 392, 856, 596, 200

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (392, 856, 596, 200) = 4.

Given numbers are 392, 856, 596, 200

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 596 are 2 x 2 x 149

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 392, 856, 596, 200 is 4.

Given numbers are 392, 856, 596, 200

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

Apply this formula for all numbers.

Step1:

LCM(392, 856) = 41944

GCD(392, 856) = ( 392 x 856 ) / 41944

= 392 / 856

= 392

Step2:

LCM(8, 596) = 1192

GCD(8, 596) = ( 8 x 596 ) / 1192

= 8 / 596

= 8

Step3:

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

= 4 / 200

= 4

So, Greatest Common Divisor of 392, 856, 596, 200 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 239, 426, 925
• GCD of 470, 281, 171, 438
• GCD of 408, 976, 327, 330
• GCD of 930, 297, 326, 262
• GCD of 397, 464, 684, 721

Given numbers are 392, 856, 596, 200
The greatest common divisor of numbers 392, 856, 596, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 856, 596, 200 is 4.

1. What is the GCD of 392, 856, 596, 200?

GCD of given numbers 392, 856, 596, 200 is 4

2. How to calculate the greatest common divisor of 392, 856, 596, 200?

We can find the highest common divisor of 392, 856, 596, 200 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 392, 856, 596, 200 i.e 4.

3. How can I use the GCD of 392, 856, 596, 200Calculator?

Out the numbers 392, 856, 596, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.