GCD of 300, 100, 464 Calculator

Given Input numbers are 300, 100, 464

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (300, 100, 464) = 4.

Given numbers are 300, 100, 464

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 100 are 2 x 2 x 5 x 5

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 300, 100, 464 is 4.

Given numbers are 300, 100, 464

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

Apply this formula for all numbers.

Step1:

LCM(300, 100) = 300

GCD(300, 100) = ( 300 x 100 ) / 300

= 300 / 100

= 300

Step2:

LCM(100, 464) = 11600

GCD(100, 464) = ( 100 x 464 ) / 11600

= 100 / 464

= 100

So, Greatest Common Divisor of 300, 100, 464 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 257, 675
• GCD of 800, 296, 619
• GCD of 963, 792, 775
• GCD of 515, 590, 517
• GCD of 240, 748, 732

Given numbers are 300, 100, 464
The greatest common divisor of numbers 300, 100, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 100, 464 is 4.

1. What is the GCD of 300, 100, 464?

GCD of given numbers 300, 100, 464 is 4

2. How to calculate the greatest common divisor of 300, 100, 464?

We can find the highest common divisor of 300, 100, 464 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, 100, 464 i.e 4.

3. How can I use the GCD of 300, 100, 464Calculator?

Out the numbers 300, 100, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.