GCD of 786, 480, 138, 815 Calculator

Given Input numbers are 786, 480, 138, 815

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

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 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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 786, 480, 138, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 480, 138, 815 is 1.

Therefore, GCD of numbers 786, 480, 138, 815 is 1

Given Input Data is 786, 480, 138, 815

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

Prime Factorization of 786 is 2 x 3 x 131

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 815 is 5 x 163

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(786, 480) = 62880

GCD(786, 480) = ( 786 x 480 ) / 62880

GCD(786, 480) = 377280 / 62880

GCD(786, 480) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 138

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

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

GCD(6, 138) = 828 / 138

GCD(6, 138) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 815

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

LCM(6, 815) = 4890

GCD(6, 815) = ( 6 x 815 ) / 4890

GCD(6, 815) = 4890 / 4890

GCD(6, 815) = 1

GCD of 786, 480, 138, 815 is 1

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1. What is the GCD of 786, 480, 138, 815?

GCD of 786, 480, 138, 815 is 1

2. Where do I get the detailed procedure to find GCD of 786, 480, 138, 815?

You can find a detailed procedure to find GCD of 786, 480, 138, 815 on our page.

3. How to find GCD of 786, 480, 138, 815 on a calculator?

You can find the GCD of 786, 480, 138, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.