GCD of 300, 471, 690, 924 Calculator

Given Input numbers are 300, 471, 690, 924

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (300, 471, 690, 924) = 3.

Given numbers are 300, 471, 690, 924

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 471 are 3 x 157

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 300, 471, 690, 924 is 3.

Given numbers are 300, 471, 690, 924

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

Apply this formula for all numbers.

Step1:

LCM(300, 471) = 47100

GCD(300, 471) = ( 300 x 471 ) / 47100

= 300 / 471

= 300

Step2:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

Step3:

LCM(3, 924) = 924

GCD(3, 924) = ( 3 x 924 ) / 924

= 3 / 924

= 3

So, Greatest Common Divisor of 300, 471, 690, 924 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 899, 381, 987
• GCD of 725, 149, 393, 220
• GCD of 209, 157, 295, 378
• GCD of 905, 296, 886, 913
• GCD of 322, 568, 457, 435

Given numbers are 300, 471, 690, 924
The greatest common divisor of numbers 300, 471, 690, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 471, 690, 924 is 3.

1. What is the GCD of 300, 471, 690, 924?

GCD of given numbers 300, 471, 690, 924 is 3

2. How to calculate the greatest common divisor of 300, 471, 690, 924?

We can find the highest common divisor of 300, 471, 690, 924 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 300, 471, 690, 924 i.e 3.

3. How can I use the GCD of 300, 471, 690, 924Calculator?

Out the numbers 300, 471, 690, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.