GCD of 130, 360, 615, 785 Calculator

Given Input numbers are 130, 360, 615, 785

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 130, 360, 615, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 360, 615, 785 is 5.

Therefore, GCD of numbers 130, 360, 615, 785 is 5

Given Input Data is 130, 360, 615, 785

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 785 is 5 x 157

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(130, 360) = 4680

GCD(130, 360) = ( 130 x 360 ) / 4680

GCD(130, 360) = 46800 / 4680

GCD(130, 360) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 615

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

LCM(10, 615) = 1230

GCD(10, 615) = ( 10 x 615 ) / 1230

GCD(10, 615) = 6150 / 1230

GCD(10, 615) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 785

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

LCM(5, 785) = 785

GCD(5, 785) = ( 5 x 785 ) / 785

GCD(5, 785) = 3925 / 785

GCD(5, 785) = 5

GCD of 130, 360, 615, 785 is 5

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1. What is the GCD of 130, 360, 615, 785?

GCD of 130, 360, 615, 785 is 5

2. Where do I get the detailed procedure to find GCD of 130, 360, 615, 785?

You can find a detailed procedure to find GCD of 130, 360, 615, 785 on our page.

3. How to find GCD of 130, 360, 615, 785 on a calculator?

You can find the GCD of 130, 360, 615, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.