GCD of 108, 714, 452, 622 Calculator

Given Input numbers are 108, 714, 452, 622

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

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

GCD of numbers is the greatest common divisor

So, the GCD (108, 714, 452, 622) = 2.

Given numbers are 108, 714, 452, 622

The list of prime factors of all numbers are

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 452 are 2 x 2 x 113

Prime factors of 622 are 2 x 311

The highest common occurrence is 2¹

Therefore, GCD of 108, 714, 452, 622 is 2.

Given numbers are 108, 714, 452, 622

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

Apply this formula for all numbers.

Step1:

LCM(108, 714) = 12852

GCD(108, 714) = ( 108 x 714 ) / 12852

= 108 / 714

= 108

Step2:

LCM(6, 452) = 1356

GCD(6, 452) = ( 6 x 452 ) / 1356

= 6 / 452

= 6

Step3:

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

= 2 / 622

= 2

So, Greatest Common Divisor of 108, 714, 452, 622 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 683, 600, 567
• GCD of 591, 889, 669, 882
• GCD of 709, 870, 227, 564
• GCD of 793, 635, 793, 357
• GCD of 705, 120, 579, 951

Given numbers are 108, 714, 452, 622
The greatest common divisor of numbers 108, 714, 452, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 714, 452, 622 is 2.

1. What is the GCD of 108, 714, 452, 622?

GCD of given numbers 108, 714, 452, 622 is 2

2. How to calculate the greatest common divisor of 108, 714, 452, 622?

We can find the highest common divisor of 108, 714, 452, 622 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 108, 714, 452, 622 i.e 2.

3. How can I use the GCD of 108, 714, 452, 622Calculator?

Out the numbers 108, 714, 452, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.