GCD of 690, 386, 611, 784 Calculator

Given Input numbers are 690, 386, 611, 784

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 690, 386, 611, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 386, 611, 784 is 1.

Therefore, GCD of numbers 690, 386, 611, 784 is 1

Given Input Data is 690, 386, 611, 784

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 386 is 2 x 193

Prime Factorization of 611 is 13 x 47

Prime Factorization of 784 is 2 x 2 x 2 x 2 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(690, 386) = 133170

GCD(690, 386) = ( 690 x 386 ) / 133170

GCD(690, 386) = 266340 / 133170

GCD(690, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 611

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

LCM(2, 611) = 1222

GCD(2, 611) = ( 2 x 611 ) / 1222

GCD(2, 611) = 1222 / 1222

GCD(2, 611) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 690, 386, 611, 784 is 1

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1. What is the GCD of 690, 386, 611, 784?

GCD of 690, 386, 611, 784 is 1

2. Where do I get the detailed procedure to find GCD of 690, 386, 611, 784?

You can find a detailed procedure to find GCD of 690, 386, 611, 784 on our page.

3. How to find GCD of 690, 386, 611, 784 on a calculator?

You can find the GCD of 690, 386, 611, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.