GCD of 420, 723, 207, 885 Calculator

Given Input numbers are 420, 723, 207, 885

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 885 :

The positive integer divisors of 885 that completely divides 885 are.

1, 3, 5, 15, 59, 177, 295, 885

GCD of numbers is the greatest common divisor

So, the GCD (420, 723, 207, 885) = 3.

Given numbers are 420, 723, 207, 885

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 723 are 3 x 241

Prime factors of 207 are 3 x 3 x 23

Prime factors of 885 are 3 x 5 x 59

The highest common occurrence is 3¹

Therefore, GCD of 420, 723, 207, 885 is 3.

Given numbers are 420, 723, 207, 885

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

Apply this formula for all numbers.

Step1:

LCM(420, 723) = 101220

GCD(420, 723) = ( 420 x 723 ) / 101220

= 420 / 723

= 420

Step2:

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

= 3 / 207

= 3

Step3:

LCM(3, 885) = 885

GCD(3, 885) = ( 3 x 885 ) / 885

= 3 / 885

= 3

So, Greatest Common Divisor of 420, 723, 207, 885 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 679, 344, 727
• GCD of 900, 926, 970, 436
• GCD of 538, 412, 855, 386
• GCD of 372, 748, 139, 605
• GCD of 408, 714, 489, 940

Given numbers are 420, 723, 207, 885
The greatest common divisor of numbers 420, 723, 207, 885 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 723, 207, 885 is 3.

1. What is the GCD of 420, 723, 207, 885?

GCD of given numbers 420, 723, 207, 885 is 3

2. How to calculate the greatest common divisor of 420, 723, 207, 885?

We can find the highest common divisor of 420, 723, 207, 885 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 420, 723, 207, 885 i.e 3.

3. How can I use the GCD of 420, 723, 207, 885Calculator?

Out the numbers 420, 723, 207, 885 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.