GCD of 882, 243, 900, 345 Calculator

Given Input numbers are 882, 243, 900, 345

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 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (882, 243, 900, 345) = 3.

Given numbers are 882, 243, 900, 345

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 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 345 are 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 882, 243, 900, 345 is 3.

Given numbers are 882, 243, 900, 345

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

Apply this formula for all numbers.

Step1:

LCM(882, 243) = 23814

GCD(882, 243) = ( 882 x 243 ) / 23814

= 882 / 243

= 882

Step2:

LCM(9, 900) = 900

GCD(9, 900) = ( 9 x 900 ) / 900

= 9 / 900

= 9

Step3:

LCM(9, 345) = 1035

GCD(9, 345) = ( 9 x 345 ) / 1035

= 9 / 345

= 9

So, Greatest Common Divisor of 882, 243, 900, 345 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 465, 684, 592
• GCD of 355, 106, 106, 964
• GCD of 655, 552, 863, 238
• GCD of 298, 244, 806, 120
• GCD of 432, 612, 964, 886

Given numbers are 882, 243, 900, 345
The greatest common divisor of numbers 882, 243, 900, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 243, 900, 345 is 3.

1. What is the GCD of 882, 243, 900, 345?

GCD of given numbers 882, 243, 900, 345 is 3

2. How to calculate the greatest common divisor of 882, 243, 900, 345?

We can find the highest common divisor of 882, 243, 900, 345 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, 243, 900, 345 i.e 3.

3. How can I use the GCD of 882, 243, 900, 345Calculator?

Out the numbers 882, 243, 900, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.