GCD of 658, 310, 522, 108 Calculator

Given Input numbers are 658, 310, 522, 108

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

Divisors of 658 :

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

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (658, 310, 522, 108) = 2.

Given numbers are 658, 310, 522, 108

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 310 are 2 x 5 x 31

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 658, 310, 522, 108 is 2.

Given numbers are 658, 310, 522, 108

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

Apply this formula for all numbers.

Step1:

LCM(658, 310) = 101990

GCD(658, 310) = ( 658 x 310 ) / 101990

= 658 / 310

= 658

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 658, 310, 522, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 605, 837, 361
• GCD of 655, 199, 849, 494
• GCD of 454, 798, 193, 883
• GCD of 547, 716, 495, 286
• GCD of 835, 905, 658, 242

Given numbers are 658, 310, 522, 108
The greatest common divisor of numbers 658, 310, 522, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 310, 522, 108 is 2.

1. What is the GCD of 658, 310, 522, 108?

GCD of given numbers 658, 310, 522, 108 is 2

2. How to calculate the greatest common divisor of 658, 310, 522, 108?

We can find the highest common divisor of 658, 310, 522, 108 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 658, 310, 522, 108 i.e 2.

3. How can I use the GCD of 658, 310, 522, 108Calculator?

Out the numbers 658, 310, 522, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.