GCD of 688, 851, 78, 123 Calculator

Given Input numbers are 688, 851, 78, 123

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 688, 851, 78, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 851, 78, 123 is 1.

Therefore, GCD of numbers 688, 851, 78, 123 is 1

Given Input Data is 688, 851, 78, 123

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 851 is 23 x 37

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 123 is 3 x 41

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(688, 851) = 585488

GCD(688, 851) = ( 688 x 851 ) / 585488

GCD(688, 851) = 585488 / 585488

GCD(688, 851) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 688, 851, 78, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 229, 86, 802
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• GCD of 550, 437, 58, 523
• GCD of 388, 665, 17, 786
• GCD of 319, 238, 15, 657

1. What is the GCD of 688, 851, 78, 123?

GCD of 688, 851, 78, 123 is 1

2. Where do I get the detailed procedure to find GCD of 688, 851, 78, 123?

You can find a detailed procedure to find GCD of 688, 851, 78, 123 on our page.

3. How to find GCD of 688, 851, 78, 123 on a calculator?

You can find the GCD of 688, 851, 78, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.