GCD of 89, 788, 768, 679 Calculator

Given Input numbers are 89, 788, 768, 679

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

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

Divisors of 679

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

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 89, 788, 768, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 788, 768, 679 is 1.

Therefore, GCD of numbers 89, 788, 768, 679 is 1

Given Input Data is 89, 788, 768, 679

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

Prime Factorization of 89 is 89

Prime Factorization of 788 is 2 x 2 x 197

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

Prime Factorization of 679 is 7 x 97

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(89, 788) = 70132

GCD(89, 788) = ( 89 x 788 ) / 70132

GCD(89, 788) = 70132 / 70132

GCD(89, 788) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 89, 788, 768, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 692, 891, 709
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• GCD of 12, 862, 552, 868
• GCD of 39, 137, 543, 996

1. What is the GCD of 89, 788, 768, 679?

GCD of 89, 788, 768, 679 is 1

2. Where do I get the detailed procedure to find GCD of 89, 788, 768, 679?

You can find a detailed procedure to find GCD of 89, 788, 768, 679 on our page.

3. How to find GCD of 89, 788, 768, 679 on a calculator?

You can find the GCD of 89, 788, 768, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.