GCD of 210, 849, 300 Calculator

Given Input numbers are 210, 849, 300

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 849 :

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

1, 3, 283, 849

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (210, 849, 300) = 3.

Given numbers are 210, 849, 300

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 849 are 3 x 283

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 210, 849, 300 is 3.

Given numbers are 210, 849, 300

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

Apply this formula for all numbers.

Step1:

LCM(210, 849) = 59430

GCD(210, 849) = ( 210 x 849 ) / 59430

= 210 / 849

= 210

Step2:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

So, Greatest Common Divisor of 210, 849, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 355, 655
• GCD of 433, 337, 586
• GCD of 465, 695, 722
• GCD of 261, 773, 321
• GCD of 191, 206, 938

Given numbers are 210, 849, 300
The greatest common divisor of numbers 210, 849, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 849, 300 is 3.

1. What is the GCD of 210, 849, 300?

GCD of given numbers 210, 849, 300 is 3

2. How to calculate the greatest common divisor of 210, 849, 300?

We can find the highest common divisor of 210, 849, 300 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 210, 849, 300 i.e 3.

3. How can I use the GCD of 210, 849, 300Calculator?

Out the numbers 210, 849, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.