GCD of 852, 786, 728, 206 Calculator

Given Input numbers are 852, 786, 728, 206

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

GCD of numbers is the greatest common divisor

So, the GCD (852, 786, 728, 206) = 2.

Given numbers are 852, 786, 728, 206

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 786 are 2 x 3 x 131

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 206 are 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 852, 786, 728, 206 is 2.

Given numbers are 852, 786, 728, 206

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

Apply this formula for all numbers.

Step1:

LCM(852, 786) = 111612

GCD(852, 786) = ( 852 x 786 ) / 111612

= 852 / 786

= 852

Step2:

LCM(6, 728) = 2184

GCD(6, 728) = ( 6 x 728 ) / 2184

= 6 / 728

= 6

Step3:

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

= 2 / 206

= 2

So, Greatest Common Divisor of 852, 786, 728, 206 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 348, 560, 931
• GCD of 276, 165, 423, 493
• GCD of 993, 384, 277, 654
• GCD of 335, 689, 875, 390
• GCD of 711, 198, 948, 540

Given numbers are 852, 786, 728, 206
The greatest common divisor of numbers 852, 786, 728, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 786, 728, 206 is 2.

1. What is the GCD of 852, 786, 728, 206?

GCD of given numbers 852, 786, 728, 206 is 2

2. How to calculate the greatest common divisor of 852, 786, 728, 206?

We can find the highest common divisor of 852, 786, 728, 206 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 852, 786, 728, 206 i.e 2.

3. How can I use the GCD of 852, 786, 728, 206Calculator?

Out the numbers 852, 786, 728, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.