GCD of 780, 799, 69, 686 Calculator

Given Input numbers are 780, 799, 69, 686

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 686

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

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

Greatest Common Divisior

We found the divisors of 780, 799, 69, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 799, 69, 686 is 1.

Therefore, GCD of numbers 780, 799, 69, 686 is 1

Given Input Data is 780, 799, 69, 686

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 799 is 17 x 47

Prime Factorization of 69 is 3 x 23

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

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(780, 799) = 623220

GCD(780, 799) = ( 780 x 799 ) / 623220

GCD(780, 799) = 623220 / 623220

GCD(780, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 780, 799, 69, 686 is 1

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• GCD of 919, 707, 92, 279
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1. What is the GCD of 780, 799, 69, 686?

GCD of 780, 799, 69, 686 is 1

2. Where do I get the detailed procedure to find GCD of 780, 799, 69, 686?

You can find a detailed procedure to find GCD of 780, 799, 69, 686 on our page.

3. How to find GCD of 780, 799, 69, 686 on a calculator?

You can find the GCD of 780, 799, 69, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.