GCD of 480, 767, 30, 910 Calculator

Given Input numbers are 480, 767, 30, 910

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 480, 767, 30, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 767, 30, 910 is 1.

Therefore, GCD of numbers 480, 767, 30, 910 is 1

Given Input Data is 480, 767, 30, 910

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 767 is 13 x 59

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 910 is 2 x 5 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(480, 767) = 368160

GCD(480, 767) = ( 480 x 767 ) / 368160

GCD(480, 767) = 368160 / 368160

GCD(480, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 910

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

LCM(1, 910) = 910

GCD(1, 910) = ( 1 x 910 ) / 910

GCD(1, 910) = 910 / 910

GCD(1, 910) = 1

GCD of 480, 767, 30, 910 is 1

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1. What is the GCD of 480, 767, 30, 910?

GCD of 480, 767, 30, 910 is 1

2. Where do I get the detailed procedure to find GCD of 480, 767, 30, 910?

You can find a detailed procedure to find GCD of 480, 767, 30, 910 on our page.

3. How to find GCD of 480, 767, 30, 910 on a calculator?

You can find the GCD of 480, 767, 30, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.