GCD of 768, 188, 156, 362 Calculator

Given Input numbers are 768, 188, 156, 362

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 188 :

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

1, 2, 4, 47, 94, 188

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (768, 188, 156, 362) = 2.

Given numbers are 768, 188, 156, 362

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 188 are 2 x 2 x 47

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 768, 188, 156, 362 is 2.

Given numbers are 768, 188, 156, 362

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

Apply this formula for all numbers.

Step1:

LCM(768, 188) = 36096

GCD(768, 188) = ( 768 x 188 ) / 36096

= 768 / 188

= 768

Step2:

LCM(4, 156) = 156

GCD(4, 156) = ( 4 x 156 ) / 156

= 4 / 156

= 4

Step3:

LCM(4, 362) = 724

GCD(4, 362) = ( 4 x 362 ) / 724

= 4 / 362

= 4

So, Greatest Common Divisor of 768, 188, 156, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 312, 555, 306
• GCD of 175, 741, 742, 604
• GCD of 483, 311, 199, 368
• GCD of 993, 991, 826, 763
• GCD of 796, 929, 171, 512

Given numbers are 768, 188, 156, 362
The greatest common divisor of numbers 768, 188, 156, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 188, 156, 362 is 2.

1. What is the GCD of 768, 188, 156, 362?

GCD of given numbers 768, 188, 156, 362 is 2

2. How to calculate the greatest common divisor of 768, 188, 156, 362?

We can find the highest common divisor of 768, 188, 156, 362 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 768, 188, 156, 362 i.e 2.

3. How can I use the GCD of 768, 188, 156, 362Calculator?

Out the numbers 768, 188, 156, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.