GCD of 628, 214, 622 Calculator

Given Input numbers are 628, 214, 622

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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 (628, 214, 622) = 2.

Given numbers are 628, 214, 622

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 214 are 2 x 107

Prime factors of 622 are 2 x 311

The highest common occurrence is 2¹

Therefore, GCD of 628, 214, 622 is 2.

Given numbers are 628, 214, 622

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

Apply this formula for all numbers.

Step1:

LCM(628, 214) = 67196

GCD(628, 214) = ( 628 x 214 ) / 67196

= 628 / 214

= 628

Step2:

LCM(2, 622) = 622

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

= 2 / 622

= 2

So, Greatest Common Divisor of 628, 214, 622 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 653, 426
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Given numbers are 628, 214, 622
The greatest common divisor of numbers 628, 214, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 214, 622 is 2.

1. What is the GCD of 628, 214, 622?

GCD of given numbers 628, 214, 622 is 2

2. How to calculate the greatest common divisor of 628, 214, 622?

We can find the highest common divisor of 628, 214, 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 628, 214, 622 i.e 2.

3. How can I use the GCD of 628, 214, 622Calculator?

Out the numbers 628, 214, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.