GCD of 780, 686, 788, 362 Calculator

Given Input numbers are 780, 686, 788, 362

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 780, 686, 788, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 686, 788, 362 is 2.

Therefore, GCD of numbers 780, 686, 788, 362 is 2

Given Input Data is 780, 686, 788, 362

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 362 is 2 x 181

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(780, 686) = 267540

GCD(780, 686) = ( 780 x 686 ) / 267540

GCD(780, 686) = 535080 / 267540

GCD(780, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

GCD of 780, 686, 788, 362 is 2

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1. What is the GCD of 780, 686, 788, 362?

GCD of 780, 686, 788, 362 is 2

2. Where do I get the detailed procedure to find GCD of 780, 686, 788, 362?

You can find a detailed procedure to find GCD of 780, 686, 788, 362 on our page.

3. How to find GCD of 780, 686, 788, 362 on a calculator?

You can find the GCD of 780, 686, 788, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.