GCD of 804, 474, 210, 723 Calculator

Given Input numbers are 804, 474, 210, 723

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (804, 474, 210, 723) = 3.

Given numbers are 804, 474, 210, 723

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 474 are 2 x 3 x 79

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

Prime factors of 723 are 3 x 241

The highest common occurrence is 3¹

Therefore, GCD of 804, 474, 210, 723 is 3.

Given numbers are 804, 474, 210, 723

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

Apply this formula for all numbers.

Step1:

LCM(804, 474) = 63516

GCD(804, 474) = ( 804 x 474 ) / 63516

= 804 / 474

= 804

Step2:

LCM(6, 210) = 210

GCD(6, 210) = ( 6 x 210 ) / 210

= 6 / 210

= 6

Step3:

LCM(6, 723) = 1446

GCD(6, 723) = ( 6 x 723 ) / 1446

= 6 / 723

= 6

So, Greatest Common Divisor of 804, 474, 210, 723 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 454, 315, 653
• GCD of 709, 353, 535, 782
• GCD of 195, 796, 788, 410
• GCD of 153, 318, 509, 791
• GCD of 633, 275, 646, 685

Given numbers are 804, 474, 210, 723
The greatest common divisor of numbers 804, 474, 210, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 474, 210, 723 is 3.

1. What is the GCD of 804, 474, 210, 723?

GCD of given numbers 804, 474, 210, 723 is 3

2. How to calculate the greatest common divisor of 804, 474, 210, 723?

We can find the highest common divisor of 804, 474, 210, 723 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 804, 474, 210, 723 i.e 3.

3. How can I use the GCD of 804, 474, 210, 723Calculator?

Out the numbers 804, 474, 210, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.