GCD of 682, 651, 77, 768 Calculator

Given Input numbers are 682, 651, 77, 768

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 682, 651, 77, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 651, 77, 768 is 1.

Therefore, GCD of numbers 682, 651, 77, 768 is 1

Given Input Data is 682, 651, 77, 768

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 77 is 7 x 11

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(682, 651) = 14322

GCD(682, 651) = ( 682 x 651 ) / 14322

GCD(682, 651) = 443982 / 14322

GCD(682, 651) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 77

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

LCM(31, 77) = 2387

GCD(31, 77) = ( 31 x 77 ) / 2387

GCD(31, 77) = 2387 / 2387

GCD(31, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 682, 651, 77, 768 is 1

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1. What is the GCD of 682, 651, 77, 768?

GCD of 682, 651, 77, 768 is 1

2. Where do I get the detailed procedure to find GCD of 682, 651, 77, 768?

You can find a detailed procedure to find GCD of 682, 651, 77, 768 on our page.

3. How to find GCD of 682, 651, 77, 768 on a calculator?

You can find the GCD of 682, 651, 77, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.