GCD of 480, 300, 426 Calculator

Given Input numbers are 480, 300, 426

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (480, 300, 426) = 6.

Given numbers are 480, 300, 426

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 480, 300, 426 is 6.

Given numbers are 480, 300, 426

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

Apply this formula for all numbers.

Step1:

LCM(480, 300) = 2400

GCD(480, 300) = ( 480 x 300 ) / 2400

= 480 / 300

= 480

Step2:

LCM(60, 426) = 4260

GCD(60, 426) = ( 60 x 426 ) / 4260

= 60 / 426

= 60

So, Greatest Common Divisor of 480, 300, 426 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 903, 463
• GCD of 247, 433, 504
• GCD of 876, 615, 996
• GCD of 913, 949, 619
• GCD of 388, 868, 719

Given numbers are 480, 300, 426
The greatest common divisor of numbers 480, 300, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 300, 426 is 6.

1. What is the GCD of 480, 300, 426?

GCD of given numbers 480, 300, 426 is 6

2. How to calculate the greatest common divisor of 480, 300, 426?

We can find the highest common divisor of 480, 300, 426 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 480, 300, 426 i.e 6.

3. How can I use the GCD of 480, 300, 426Calculator?

Out the numbers 480, 300, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.