GCD of 480, 845, 142, 709 Calculator

Given Input numbers are 480, 845, 142, 709

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 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 480, 845, 142, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 845, 142, 709 is 1.

Therefore, GCD of numbers 480, 845, 142, 709 is 1

Given Input Data is 480, 845, 142, 709

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 845 is 5 x 13 x 13

Prime Factorization of 142 is 2 x 71

Prime Factorization of 709 is 709

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, 845) = 81120

GCD(480, 845) = ( 480 x 845 ) / 81120

GCD(480, 845) = 405600 / 81120

GCD(480, 845) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 142

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

LCM(5, 142) = 710

GCD(5, 142) = ( 5 x 142 ) / 710

GCD(5, 142) = 710 / 710

GCD(5, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 480, 845, 142, 709 is 1

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1. What is the GCD of 480, 845, 142, 709?

GCD of 480, 845, 142, 709 is 1

2. Where do I get the detailed procedure to find GCD of 480, 845, 142, 709?

You can find a detailed procedure to find GCD of 480, 845, 142, 709 on our page.

3. How to find GCD of 480, 845, 142, 709 on a calculator?

You can find the GCD of 480, 845, 142, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.