GCD of 106, 388, 590, 650 Calculator

Given Input numbers are 106, 388, 590, 650

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 388 :

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

1, 2, 4, 97, 194, 388

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (106, 388, 590, 650) = 2.

Given numbers are 106, 388, 590, 650

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 388 are 2 x 2 x 97

Prime factors of 590 are 2 x 5 x 59

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 106, 388, 590, 650 is 2.

Given numbers are 106, 388, 590, 650

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

Apply this formula for all numbers.

Step1:

LCM(106, 388) = 20564

GCD(106, 388) = ( 106 x 388 ) / 20564

= 106 / 388

= 106

Step2:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

So, Greatest Common Divisor of 106, 388, 590, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 211, 876, 747
• GCD of 538, 978, 886, 645
• GCD of 772, 642, 331, 970
• GCD of 608, 215, 611, 587
• GCD of 495, 589, 543, 130

Given numbers are 106, 388, 590, 650
The greatest common divisor of numbers 106, 388, 590, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 388, 590, 650 is 2.

1. What is the GCD of 106, 388, 590, 650?

GCD of given numbers 106, 388, 590, 650 is 2

2. How to calculate the greatest common divisor of 106, 388, 590, 650?

We can find the highest common divisor of 106, 388, 590, 650 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, 388, 590, 650 i.e 2.

3. How can I use the GCD of 106, 388, 590, 650Calculator?

Out the numbers 106, 388, 590, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.