GCD of 318, 213, 900, 849 Calculator

Given Input numbers are 318, 213, 900, 849

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (318, 213, 900, 849) = 3.

Given numbers are 318, 213, 900, 849

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 213 are 3 x 71

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

Prime factors of 849 are 3 x 283

The highest common occurrence is 3¹

Therefore, GCD of 318, 213, 900, 849 is 3.

Given numbers are 318, 213, 900, 849

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

Apply this formula for all numbers.

Step1:

LCM(318, 213) = 22578

GCD(318, 213) = ( 318 x 213 ) / 22578

= 318 / 213

= 318

Step2:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

Step3:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

So, Greatest Common Divisor of 318, 213, 900, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 899, 444, 318
• GCD of 458, 394, 733, 893
• GCD of 699, 379, 946, 716
• GCD of 588, 765, 802, 934
• GCD of 127, 106, 765, 595

Given numbers are 318, 213, 900, 849
The greatest common divisor of numbers 318, 213, 900, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 213, 900, 849 is 3.

1. What is the GCD of 318, 213, 900, 849?

GCD of given numbers 318, 213, 900, 849 is 3

2. How to calculate the greatest common divisor of 318, 213, 900, 849?

We can find the highest common divisor of 318, 213, 900, 849 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 318, 213, 900, 849 i.e 3.

3. How can I use the GCD of 318, 213, 900, 849Calculator?

Out the numbers 318, 213, 900, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.