GCD of 68, 679, 698, 456 Calculator

Given Input numbers are 68, 679, 698, 456

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 68, 679, 698, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 679, 698, 456 is 1.

Therefore, GCD of numbers 68, 679, 698, 456 is 1

Given Input Data is 68, 679, 698, 456

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 679 is 7 x 97

Prime Factorization of 698 is 2 x 349

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(68, 679) = 46172

GCD(68, 679) = ( 68 x 679 ) / 46172

GCD(68, 679) = 46172 / 46172

GCD(68, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 68, 679, 698, 456 is 1

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• GCD of 96, 809, 933, 640
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1. What is the GCD of 68, 679, 698, 456?

GCD of 68, 679, 698, 456 is 1

2. Where do I get the detailed procedure to find GCD of 68, 679, 698, 456?

You can find a detailed procedure to find GCD of 68, 679, 698, 456 on our page.

3. How to find GCD of 68, 679, 698, 456 on a calculator?

You can find the GCD of 68, 679, 698, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.