GCD of 785, 698, 71, 688 Calculator

Given Input numbers are 785, 698, 71, 688

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 698

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

1, 2, 349, 698

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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

Greatest Common Divisior

We found the divisors of 785, 698, 71, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 698, 71, 688 is 1.

Therefore, GCD of numbers 785, 698, 71, 688 is 1

Given Input Data is 785, 698, 71, 688

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 698 is 2 x 349

Prime Factorization of 71 is 71

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

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(785, 698) = 547930

GCD(785, 698) = ( 785 x 698 ) / 547930

GCD(785, 698) = 547930 / 547930

GCD(785, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 785, 698, 71, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 581, 43, 806
• GCD of 988, 999, 19, 797
• GCD of 211, 179, 42, 681
• GCD of 513, 229, 48, 496
• GCD of 373, 210, 47, 798

1. What is the GCD of 785, 698, 71, 688?

GCD of 785, 698, 71, 688 is 1

2. Where do I get the detailed procedure to find GCD of 785, 698, 71, 688?

You can find a detailed procedure to find GCD of 785, 698, 71, 688 on our page.

3. How to find GCD of 785, 698, 71, 688 on a calculator?

You can find the GCD of 785, 698, 71, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.