GCD of 300, 370, 280, 592 Calculator

Given Input numbers are 300, 370, 280, 592

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 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

GCD of numbers is the greatest common divisor

So, the GCD (300, 370, 280, 592) = 2.

Given numbers are 300, 370, 280, 592

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 370 are 2 x 5 x 37

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 300, 370, 280, 592 is 2.

Given numbers are 300, 370, 280, 592

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

Apply this formula for all numbers.

Step1:

LCM(300, 370) = 11100

GCD(300, 370) = ( 300 x 370 ) / 11100

= 300 / 370

= 300

Step2:

LCM(10, 280) = 280

GCD(10, 280) = ( 10 x 280 ) / 280

= 10 / 280

= 10

Step3:

LCM(10, 592) = 2960

GCD(10, 592) = ( 10 x 592 ) / 2960

= 10 / 592

= 10

So, Greatest Common Divisor of 300, 370, 280, 592 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 559, 464, 532
• GCD of 273, 119, 743, 135
• GCD of 415, 257, 328, 129
• GCD of 470, 795, 658, 103
• GCD of 239, 315, 898, 563

Given numbers are 300, 370, 280, 592
The greatest common divisor of numbers 300, 370, 280, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 370, 280, 592 is 2.

1. What is the GCD of 300, 370, 280, 592?

GCD of given numbers 300, 370, 280, 592 is 2

2. How to calculate the greatest common divisor of 300, 370, 280, 592?

We can find the highest common divisor of 300, 370, 280, 592 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, 370, 280, 592 i.e 2.

3. How can I use the GCD of 300, 370, 280, 592Calculator?

Out the numbers 300, 370, 280, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.