GCD of 300, 454, 382, 920 Calculator

Given Input numbers are 300, 454, 382, 920

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 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (300, 454, 382, 920) = 2.

Given numbers are 300, 454, 382, 920

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 454 are 2 x 227

Prime factors of 382 are 2 x 191

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 300, 454, 382, 920 is 2.

Given numbers are 300, 454, 382, 920

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

Apply this formula for all numbers.

Step1:

LCM(300, 454) = 68100

GCD(300, 454) = ( 300 x 454 ) / 68100

= 300 / 454

= 300

Step2:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 300, 454, 382, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 727, 462, 610
• GCD of 949, 458, 197, 318
• GCD of 256, 755, 317, 714
• GCD of 751, 615, 440, 134
• GCD of 166, 324, 427, 185

Given numbers are 300, 454, 382, 920
The greatest common divisor of numbers 300, 454, 382, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 454, 382, 920 is 2.

1. What is the GCD of 300, 454, 382, 920?

GCD of given numbers 300, 454, 382, 920 is 2

2. How to calculate the greatest common divisor of 300, 454, 382, 920?

We can find the highest common divisor of 300, 454, 382, 920 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, 454, 382, 920 i.e 2.

3. How can I use the GCD of 300, 454, 382, 920Calculator?

Out the numbers 300, 454, 382, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.