GCD of 39, 688, 851, 735 Calculator

Given Input numbers are 39, 688, 851, 735

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 39, 688, 851, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 688, 851, 735 is 1.

Therefore, GCD of numbers 39, 688, 851, 735 is 1

Given Input Data is 39, 688, 851, 735

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

Prime Factorization of 39 is 3 x 13

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 735 is 3 x 5 x 7 x 7

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(39, 688) = 26832

GCD(39, 688) = ( 39 x 688 ) / 26832

GCD(39, 688) = 26832 / 26832

GCD(39, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 39, 688, 851, 735 is 1

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• GCD of 17, 669, 693, 694

1. What is the GCD of 39, 688, 851, 735?

GCD of 39, 688, 851, 735 is 1

2. Where do I get the detailed procedure to find GCD of 39, 688, 851, 735?

You can find a detailed procedure to find GCD of 39, 688, 851, 735 on our page.

3. How to find GCD of 39, 688, 851, 735 on a calculator?

You can find the GCD of 39, 688, 851, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.