GCD of 832, 780, 689, 693 Calculator

Given Input numbers are 832, 780, 689, 693

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 832, 780, 689, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 780, 689, 693 is 1.

Therefore, GCD of numbers 832, 780, 689, 693 is 1

Given Input Data is 832, 780, 689, 693

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(832, 780) = 12480

GCD(832, 780) = ( 832 x 780 ) / 12480

GCD(832, 780) = 648960 / 12480

GCD(832, 780) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 689

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

LCM(52, 689) = 2756

GCD(52, 689) = ( 52 x 689 ) / 2756

GCD(52, 689) = 35828 / 2756

GCD(52, 689) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 693

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

LCM(13, 693) = 9009

GCD(13, 693) = ( 13 x 693 ) / 9009

GCD(13, 693) = 9009 / 9009

GCD(13, 693) = 1

GCD of 832, 780, 689, 693 is 1

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1. What is the GCD of 832, 780, 689, 693?

GCD of 832, 780, 689, 693 is 1

2. Where do I get the detailed procedure to find GCD of 832, 780, 689, 693?

You can find a detailed procedure to find GCD of 832, 780, 689, 693 on our page.

3. How to find GCD of 832, 780, 689, 693 on a calculator?

You can find the GCD of 832, 780, 689, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.