GCD of 106, 472, 780, 188 Calculator

Given Input numbers are 106, 472, 780, 188

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

Divisors of 106 :

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

1, 2, 53, 106

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 188 :

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

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (106, 472, 780, 188) = 2.

Given numbers are 106, 472, 780, 188

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 106, 472, 780, 188 is 2.

Given numbers are 106, 472, 780, 188

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

Apply this formula for all numbers.

Step1:

LCM(106, 472) = 25016

GCD(106, 472) = ( 106 x 472 ) / 25016

= 106 / 472

= 106

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

So, Greatest Common Divisor of 106, 472, 780, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 329, 146, 111
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Given numbers are 106, 472, 780, 188
The greatest common divisor of numbers 106, 472, 780, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 472, 780, 188 is 2.

1. What is the GCD of 106, 472, 780, 188?

GCD of given numbers 106, 472, 780, 188 is 2

2. How to calculate the greatest common divisor of 106, 472, 780, 188?

We can find the highest common divisor of 106, 472, 780, 188 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 106, 472, 780, 188 i.e 2.

3. How can I use the GCD of 106, 472, 780, 188Calculator?

Out the numbers 106, 472, 780, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.