GCD of 398, 834, 492, 300 Calculator

Given Input numbers are 398, 834, 492, 300

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

GCD of numbers is the greatest common divisor

So, the GCD (398, 834, 492, 300) = 2.

Given numbers are 398, 834, 492, 300

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 834 are 2 x 3 x 139

Prime factors of 492 are 2 x 2 x 3 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 398, 834, 492, 300 is 2.

Given numbers are 398, 834, 492, 300

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

Apply this formula for all numbers.

Step1:

LCM(398, 834) = 165966

GCD(398, 834) = ( 398 x 834 ) / 165966

= 398 / 834

= 398

Step2:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 398, 834, 492, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 598, 737, 650
• GCD of 369, 493, 955, 540
• GCD of 951, 848, 216, 987
• GCD of 726, 226, 871, 721
• GCD of 125, 705, 809, 480

Given numbers are 398, 834, 492, 300
The greatest common divisor of numbers 398, 834, 492, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 834, 492, 300 is 2.

1. What is the GCD of 398, 834, 492, 300?

GCD of given numbers 398, 834, 492, 300 is 2

2. How to calculate the greatest common divisor of 398, 834, 492, 300?

We can find the highest common divisor of 398, 834, 492, 300 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 398, 834, 492, 300 i.e 2.

3. How can I use the GCD of 398, 834, 492, 300Calculator?

Out the numbers 398, 834, 492, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.