GCD of 228, 348, 642, 807 Calculator

Given Input numbers are 228, 348, 642, 807

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

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 642 :

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

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

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

GCD of numbers is the greatest common divisor

So, the GCD (228, 348, 642, 807) = 3.

Given numbers are 228, 348, 642, 807

The list of prime factors of all numbers are

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

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 642 are 2 x 3 x 107

Prime factors of 807 are 3 x 269

The highest common occurrence is 3¹

Therefore, GCD of 228, 348, 642, 807 is 3.

Given numbers are 228, 348, 642, 807

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

Apply this formula for all numbers.

Step1:

LCM(228, 348) = 6612

GCD(228, 348) = ( 228 x 348 ) / 6612

= 228 / 348

= 228

Step2:

LCM(12, 642) = 1284

GCD(12, 642) = ( 12 x 642 ) / 1284

= 12 / 642

= 12

Step3:

LCM(6, 807) = 1614

GCD(6, 807) = ( 6 x 807 ) / 1614

= 6 / 807

= 6

So, Greatest Common Divisor of 228, 348, 642, 807 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 754, 372, 320
• GCD of 253, 996, 210, 615
• GCD of 769, 749, 831, 513
• GCD of 447, 248, 202, 322
• GCD of 771, 286, 376, 371

Given numbers are 228, 348, 642, 807
The greatest common divisor of numbers 228, 348, 642, 807 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 348, 642, 807 is 3.

1. What is the GCD of 228, 348, 642, 807?

GCD of given numbers 228, 348, 642, 807 is 3

2. How to calculate the greatest common divisor of 228, 348, 642, 807?

We can find the highest common divisor of 228, 348, 642, 807 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 228, 348, 642, 807 i.e 3.

3. How can I use the GCD of 228, 348, 642, 807Calculator?

Out the numbers 228, 348, 642, 807 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.