GCD of 968, 480, 786, 463 Calculator

Given Input numbers are 968, 480, 786, 463

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 968, 480, 786, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 480, 786, 463 is 1.

Therefore, GCD of numbers 968, 480, 786, 463 is 1

Given Input Data is 968, 480, 786, 463

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 463 is 463

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(968, 480) = 58080

GCD(968, 480) = ( 968 x 480 ) / 58080

GCD(968, 480) = 464640 / 58080

GCD(968, 480) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 786

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

LCM(8, 786) = 3144

GCD(8, 786) = ( 8 x 786 ) / 3144

GCD(8, 786) = 6288 / 3144

GCD(8, 786) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 463

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

LCM(2, 463) = 926

GCD(2, 463) = ( 2 x 463 ) / 926

GCD(2, 463) = 926 / 926

GCD(2, 463) = 1

GCD of 968, 480, 786, 463 is 1

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1. What is the GCD of 968, 480, 786, 463?

GCD of 968, 480, 786, 463 is 1

2. Where do I get the detailed procedure to find GCD of 968, 480, 786, 463?

You can find a detailed procedure to find GCD of 968, 480, 786, 463 on our page.

3. How to find GCD of 968, 480, 786, 463 on a calculator?

You can find the GCD of 968, 480, 786, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.