GCD of 106, 506, 642, 398 Calculator

Given Input numbers are 106, 506, 642, 398

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (106, 506, 642, 398) = 2.

Given numbers are 106, 506, 642, 398

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 506 are 2 x 11 x 23

Prime factors of 642 are 2 x 3 x 107

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 106, 506, 642, 398 is 2.

Given numbers are 106, 506, 642, 398

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

Apply this formula for all numbers.

Step1:

LCM(106, 506) = 26818

GCD(106, 506) = ( 106 x 506 ) / 26818

= 106 / 506

= 106

Step2:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 106, 506, 642, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 668, 710, 400
• GCD of 736, 735, 793, 881
• GCD of 559, 763, 709, 642
• GCD of 297, 435, 942, 536
• GCD of 567, 982, 166, 712

Given numbers are 106, 506, 642, 398
The greatest common divisor of numbers 106, 506, 642, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 506, 642, 398 is 2.

1. What is the GCD of 106, 506, 642, 398?

GCD of given numbers 106, 506, 642, 398 is 2

2. How to calculate the greatest common divisor of 106, 506, 642, 398?

We can find the highest common divisor of 106, 506, 642, 398 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, 506, 642, 398 i.e 2.

3. How can I use the GCD of 106, 506, 642, 398Calculator?

Out the numbers 106, 506, 642, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.