GCD of 300, 668, 474, 624 Calculator

Given Input numbers are 300, 668, 474, 624

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 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 474 :

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

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (300, 668, 474, 624) = 2.

Given numbers are 300, 668, 474, 624

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 668 are 2 x 2 x 167

Prime factors of 474 are 2 x 3 x 79

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 300, 668, 474, 624 is 2.

Given numbers are 300, 668, 474, 624

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

Apply this formula for all numbers.

Step1:

LCM(300, 668) = 50100

GCD(300, 668) = ( 300 x 668 ) / 50100

= 300 / 668

= 300

Step2:

LCM(4, 474) = 948

GCD(4, 474) = ( 4 x 474 ) / 948

= 4 / 474

= 4

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 300, 668, 474, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 981, 838, 304
• GCD of 918, 163, 792, 958
• GCD of 699, 674, 177, 886
• GCD of 792, 416, 611, 184
• GCD of 157, 788, 228, 395

Given numbers are 300, 668, 474, 624
The greatest common divisor of numbers 300, 668, 474, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 668, 474, 624 is 2.

1. What is the GCD of 300, 668, 474, 624?

GCD of given numbers 300, 668, 474, 624 is 2

2. How to calculate the greatest common divisor of 300, 668, 474, 624?

We can find the highest common divisor of 300, 668, 474, 624 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, 668, 474, 624 i.e 2.

3. How can I use the GCD of 300, 668, 474, 624Calculator?

Out the numbers 300, 668, 474, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.