GCD of 120, 423, 819, 900 Calculator

Given Input numbers are 120, 423, 819, 900

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (120, 423, 819, 900) = 3.

Given numbers are 120, 423, 819, 900

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 423 are 3 x 3 x 47

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 120, 423, 819, 900 is 3.

Given numbers are 120, 423, 819, 900

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

Apply this formula for all numbers.

Step1:

LCM(120, 423) = 16920

GCD(120, 423) = ( 120 x 423 ) / 16920

= 120 / 423

= 120

Step2:

LCM(3, 819) = 819

GCD(3, 819) = ( 3 x 819 ) / 819

= 3 / 819

= 3

Step3:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

So, Greatest Common Divisor of 120, 423, 819, 900 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 313, 253, 101
• GCD of 361, 700, 147, 551
• GCD of 116, 482, 778, 951
• GCD of 913, 684, 268, 546
• GCD of 719, 774, 513, 304

Given numbers are 120, 423, 819, 900
The greatest common divisor of numbers 120, 423, 819, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 423, 819, 900 is 3.

1. What is the GCD of 120, 423, 819, 900?

GCD of given numbers 120, 423, 819, 900 is 3

2. How to calculate the greatest common divisor of 120, 423, 819, 900?

We can find the highest common divisor of 120, 423, 819, 900 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 120, 423, 819, 900 i.e 3.

3. How can I use the GCD of 120, 423, 819, 900Calculator?

Out the numbers 120, 423, 819, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.