GCD of 882, 200, 470, 228 Calculator

Given Input numbers are 882, 200, 470, 228

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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

GCD of numbers is the greatest common divisor

So, the GCD (882, 200, 470, 228) = 2.

Given numbers are 882, 200, 470, 228

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 470 are 2 x 5 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 882, 200, 470, 228 is 2.

Given numbers are 882, 200, 470, 228

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

Apply this formula for all numbers.

Step1:

LCM(882, 200) = 88200

GCD(882, 200) = ( 882 x 200 ) / 88200

= 882 / 200

= 882

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 882, 200, 470, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 940, 509, 437
• GCD of 567, 312, 574, 434
• GCD of 609, 711, 194, 423
• GCD of 778, 476, 713, 103
• GCD of 256, 172, 631, 607

Given numbers are 882, 200, 470, 228
The greatest common divisor of numbers 882, 200, 470, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 200, 470, 228 is 2.

1. What is the GCD of 882, 200, 470, 228?

GCD of given numbers 882, 200, 470, 228 is 2

2. How to calculate the greatest common divisor of 882, 200, 470, 228?

We can find the highest common divisor of 882, 200, 470, 228 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 882, 200, 470, 228 i.e 2.

3. How can I use the GCD of 882, 200, 470, 228Calculator?

Out the numbers 882, 200, 470, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.