GCD of 338, 188, 162, 786 Calculator

Given Input numbers are 338, 188, 162, 786

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 786 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (338, 188, 162, 786) = 2.

Given numbers are 338, 188, 162, 786

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 188 are 2 x 2 x 47

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 786 are 2 x 3 x 131

The highest common occurrence is 2¹

Therefore, GCD of 338, 188, 162, 786 is 2.

Given numbers are 338, 188, 162, 786

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

Apply this formula for all numbers.

Step1:

LCM(338, 188) = 31772

GCD(338, 188) = ( 338 x 188 ) / 31772

= 338 / 188

= 338

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

Step3:

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

= 2 / 786

= 2

So, Greatest Common Divisor of 338, 188, 162, 786 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 692, 782, 550
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• GCD of 990, 272, 239, 952
• GCD of 161, 721, 601, 578
• GCD of 468, 412, 187, 401

Given numbers are 338, 188, 162, 786
The greatest common divisor of numbers 338, 188, 162, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 188, 162, 786 is 2.

1. What is the GCD of 338, 188, 162, 786?

GCD of given numbers 338, 188, 162, 786 is 2

2. How to calculate the greatest common divisor of 338, 188, 162, 786?

We can find the highest common divisor of 338, 188, 162, 786 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 338, 188, 162, 786 i.e 2.

3. How can I use the GCD of 338, 188, 162, 786Calculator?

Out the numbers 338, 188, 162, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.