GCD of 480, 747, 30, 126 Calculator

Given Input numbers are 480, 747, 30, 126

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (480, 747, 30, 126) = 3.

Given numbers are 480, 747, 30, 126

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 747 are 3 x 3 x 83

Prime factors of 30 are 2 x 3 x 5

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 480, 747, 30, 126 is 3.

Given numbers are 480, 747, 30, 126

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

Apply this formula for all numbers.

Step1:

LCM(480, 747) = 119520

GCD(480, 747) = ( 480 x 747 ) / 119520

= 480 / 747

= 480

Step2:

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

= 3 / 30

= 3

Step3:

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

= 3 / 126

= 3

So, Greatest Common Divisor of 480, 747, 30, 126 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 779, 32, 430
• GCD of 732, 925, 77, 524
• GCD of 330, 160, 93, 265
• GCD of 332, 622, 82, 831
• GCD of 387, 951, 47, 656

Given numbers are 480, 747, 30, 126
The greatest common divisor of numbers 480, 747, 30, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 747, 30, 126 is 3.

1. What is the GCD of 480, 747, 30, 126?

GCD of given numbers 480, 747, 30, 126 is 3

2. How to calculate the greatest common divisor of 480, 747, 30, 126?

We can find the highest common divisor of 480, 747, 30, 126 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, 747, 30, 126 i.e 3.

3. How can I use the GCD of 480, 747, 30, 126Calculator?

Out the numbers 480, 747, 30, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.