GCD of 388, 118, 460, 106 Calculator

Given Input numbers are 388, 118, 460, 106

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

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (388, 118, 460, 106) = 2.

Given numbers are 388, 118, 460, 106

The list of prime factors of all numbers are

Prime factors of 388 are 2 x 2 x 97

Prime factors of 118 are 2 x 59

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 106 are 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 388, 118, 460, 106 is 2.

Given numbers are 388, 118, 460, 106

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

Apply this formula for all numbers.

Step1:

LCM(388, 118) = 22892

GCD(388, 118) = ( 388 x 118 ) / 22892

= 388 / 118

= 388

Step2:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

Step3:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

So, Greatest Common Divisor of 388, 118, 460, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 429, 457, 701
• GCD of 178, 858, 850, 101
• GCD of 702, 432, 664, 826
• GCD of 301, 516, 221, 917
• GCD of 281, 329, 122, 528

Given numbers are 388, 118, 460, 106
The greatest common divisor of numbers 388, 118, 460, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 388, 118, 460, 106 is 2.

1. What is the GCD of 388, 118, 460, 106?

GCD of given numbers 388, 118, 460, 106 is 2

2. How to calculate the greatest common divisor of 388, 118, 460, 106?

We can find the highest common divisor of 388, 118, 460, 106 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 388, 118, 460, 106 i.e 2.

3. How can I use the GCD of 388, 118, 460, 106Calculator?

Out the numbers 388, 118, 460, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.