GCD of 624, 610, 108, 814 Calculator

Given Input numbers are 624, 610, 108, 814

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (624, 610, 108, 814) = 2.

Given numbers are 624, 610, 108, 814

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 610 are 2 x 5 x 61

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

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 624, 610, 108, 814 is 2.

Given numbers are 624, 610, 108, 814

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

Apply this formula for all numbers.

Step1:

LCM(624, 610) = 190320

GCD(624, 610) = ( 624 x 610 ) / 190320

= 624 / 610

= 624

Step2:

LCM(2, 108) = 108

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

= 2 / 108

= 2

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 624, 610, 108, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 721, 857, 700
• GCD of 813, 233, 384, 373
• GCD of 752, 895, 719, 536
• GCD of 421, 262, 887, 809
• GCD of 997, 950, 500, 521

Given numbers are 624, 610, 108, 814
The greatest common divisor of numbers 624, 610, 108, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 610, 108, 814 is 2.

1. What is the GCD of 624, 610, 108, 814?

GCD of given numbers 624, 610, 108, 814 is 2

2. How to calculate the greatest common divisor of 624, 610, 108, 814?

We can find the highest common divisor of 624, 610, 108, 814 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 624, 610, 108, 814 i.e 2.

3. How can I use the GCD of 624, 610, 108, 814Calculator?

Out the numbers 624, 610, 108, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.