GCD of 106, 118, 990, 658 Calculator

Given Input numbers are 106, 118, 990, 658

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 118 :

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

1, 2, 59, 118

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (106, 118, 990, 658) = 2.

Given numbers are 106, 118, 990, 658

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 118 are 2 x 59

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 106, 118, 990, 658 is 2.

Given numbers are 106, 118, 990, 658

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

Apply this formula for all numbers.

Step1:

LCM(106, 118) = 6254

GCD(106, 118) = ( 106 x 118 ) / 6254

= 106 / 118

= 106

Step2:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

So, Greatest Common Divisor of 106, 118, 990, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 172, 229, 809
• GCD of 563, 561, 955, 575
• GCD of 756, 212, 234, 390
• GCD of 965, 788, 135, 246
• GCD of 255, 449, 722, 147

Given numbers are 106, 118, 990, 658
The greatest common divisor of numbers 106, 118, 990, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 118, 990, 658 is 2.

1. What is the GCD of 106, 118, 990, 658?

GCD of given numbers 106, 118, 990, 658 is 2

2. How to calculate the greatest common divisor of 106, 118, 990, 658?

We can find the highest common divisor of 106, 118, 990, 658 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, 118, 990, 658 i.e 2.

3. How can I use the GCD of 106, 118, 990, 658Calculator?

Out the numbers 106, 118, 990, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.