GCD of 858, 828, 849, 225 Calculator

Given Input numbers are 858, 828, 849, 225

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 849 :

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

1, 3, 283, 849

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (858, 828, 849, 225) = 3.

Given numbers are 858, 828, 849, 225

The list of prime factors of all numbers are

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 849 are 3 x 283

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 858, 828, 849, 225 is 3.

Given numbers are 858, 828, 849, 225

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

Apply this formula for all numbers.

Step1:

LCM(858, 828) = 118404

GCD(858, 828) = ( 858 x 828 ) / 118404

= 858 / 828

= 858

Step2:

LCM(6, 849) = 1698

GCD(6, 849) = ( 6 x 849 ) / 1698

= 6 / 849

= 6

Step3:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

So, Greatest Common Divisor of 858, 828, 849, 225 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 946, 815, 804
• GCD of 727, 135, 774, 272
• GCD of 565, 693, 456, 826
• GCD of 425, 483, 740, 647
• GCD of 637, 574, 939, 535

Given numbers are 858, 828, 849, 225
The greatest common divisor of numbers 858, 828, 849, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 828, 849, 225 is 3.

1. What is the GCD of 858, 828, 849, 225?

GCD of given numbers 858, 828, 849, 225 is 3

2. How to calculate the greatest common divisor of 858, 828, 849, 225?

We can find the highest common divisor of 858, 828, 849, 225 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 858, 828, 849, 225 i.e 3.

3. How can I use the GCD of 858, 828, 849, 225Calculator?

Out the numbers 858, 828, 849, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.