GCD of 628, 506, 344 Calculator

Given Input numbers are 628, 506, 344

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (628, 506, 344) = 2.

Given numbers are 628, 506, 344

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 506 are 2 x 11 x 23

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 628, 506, 344 is 2.

Given numbers are 628, 506, 344

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

Apply this formula for all numbers.

Step1:

LCM(628, 506) = 158884

GCD(628, 506) = ( 628 x 506 ) / 158884

= 628 / 506

= 628

Step2:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 628, 506, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 881, 344
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Given numbers are 628, 506, 344
The greatest common divisor of numbers 628, 506, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 506, 344 is 2.

1. What is the GCD of 628, 506, 344?

GCD of given numbers 628, 506, 344 is 2

2. How to calculate the greatest common divisor of 628, 506, 344?

We can find the highest common divisor of 628, 506, 344 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, 506, 344 i.e 2.

3. How can I use the GCD of 628, 506, 344Calculator?

Out the numbers 628, 506, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.