GCD of 628, 266, 828, 582 Calculator

Given Input numbers are 628, 266, 828, 582

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 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

GCD of numbers is the greatest common divisor

So, the GCD (628, 266, 828, 582) = 2.

Given numbers are 628, 266, 828, 582

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 266 are 2 x 7 x 19

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 2¹

Therefore, GCD of 628, 266, 828, 582 is 2.

Given numbers are 628, 266, 828, 582

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

Apply this formula for all numbers.

Step1:

LCM(628, 266) = 83524

GCD(628, 266) = ( 628 x 266 ) / 83524

= 628 / 266

= 628

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

So, Greatest Common Divisor of 628, 266, 828, 582 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 114, 903, 272
• GCD of 579, 104, 476, 962
• GCD of 544, 455, 768, 367
• GCD of 203, 663, 284, 130
• GCD of 514, 881, 891, 748

Given numbers are 628, 266, 828, 582
The greatest common divisor of numbers 628, 266, 828, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 266, 828, 582 is 2.

1. What is the GCD of 628, 266, 828, 582?

GCD of given numbers 628, 266, 828, 582 is 2

2. How to calculate the greatest common divisor of 628, 266, 828, 582?

We can find the highest common divisor of 628, 266, 828, 582 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, 266, 828, 582 i.e 2.

3. How can I use the GCD of 628, 266, 828, 582Calculator?

Out the numbers 628, 266, 828, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.