GCD of 174, 225, 399, 813 Calculator

Given Input numbers are 174, 225, 399, 813

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 225 :

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

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

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (174, 225, 399, 813) = 3.

Given numbers are 174, 225, 399, 813

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

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

Prime factors of 399 are 3 x 7 x 19

Prime factors of 813 are 3 x 271

The highest common occurrence is 3¹

Therefore, GCD of 174, 225, 399, 813 is 3.

Given numbers are 174, 225, 399, 813

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

Apply this formula for all numbers.

Step1:

LCM(174, 225) = 13050

GCD(174, 225) = ( 174 x 225 ) / 13050

= 174 / 225

= 174

Step2:

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

= 3 / 399

= 3

Step3:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3

So, Greatest Common Divisor of 174, 225, 399, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 436, 593, 556
• GCD of 789, 259, 675, 153
• GCD of 325, 791, 680, 721
• GCD of 995, 329, 850, 849
• GCD of 447, 592, 982, 941

Given numbers are 174, 225, 399, 813
The greatest common divisor of numbers 174, 225, 399, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 225, 399, 813 is 3.

1. What is the GCD of 174, 225, 399, 813?

GCD of given numbers 174, 225, 399, 813 is 3

2. How to calculate the greatest common divisor of 174, 225, 399, 813?

We can find the highest common divisor of 174, 225, 399, 813 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 174, 225, 399, 813 i.e 3.

3. How can I use the GCD of 174, 225, 399, 813Calculator?

Out the numbers 174, 225, 399, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.