GCD of 642, 228, 828 Calculator

Given Input numbers are 642, 228, 828

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

GCD of numbers is the greatest common divisor

So, the GCD (642, 228, 828) = 6.

Given numbers are 642, 228, 828

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 228 are 2 x 2 x 3 x 19

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 642, 228, 828 is 6.

Given numbers are 642, 228, 828

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

Apply this formula for all numbers.

Step1:

LCM(642, 228) = 24396

GCD(642, 228) = ( 642 x 228 ) / 24396

= 642 / 228

= 642

Step2:

LCM(6, 828) = 828

GCD(6, 828) = ( 6 x 828 ) / 828

= 6 / 828

= 6

So, Greatest Common Divisor of 642, 228, 828 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 152, 527
• GCD of 830, 850, 705
• GCD of 526, 714, 868
• GCD of 953, 783, 449
• GCD of 257, 639, 529

Given numbers are 642, 228, 828
The greatest common divisor of numbers 642, 228, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 228, 828 is 6.

1. What is the GCD of 642, 228, 828?

GCD of given numbers 642, 228, 828 is 6

2. How to calculate the greatest common divisor of 642, 228, 828?

We can find the highest common divisor of 642, 228, 828 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 642, 228, 828 i.e 6.

3. How can I use the GCD of 642, 228, 828Calculator?

Out the numbers 642, 228, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.