GCD of 700, 787, 345, 831 Calculator

Given Input numbers are 700, 787, 345, 831

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 700, 787, 345, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 787, 345, 831 is 1.

Therefore, GCD of numbers 700, 787, 345, 831 is 1

Given Input Data is 700, 787, 345, 831

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 787 is 787

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 831 is 3 x 277

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(700, 787) = 550900

GCD(700, 787) = ( 700 x 787 ) / 550900

GCD(700, 787) = 550900 / 550900

GCD(700, 787) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 700, 787, 345, 831 is 1

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1. What is the GCD of 700, 787, 345, 831?

GCD of 700, 787, 345, 831 is 1

2. Where do I get the detailed procedure to find GCD of 700, 787, 345, 831?

You can find a detailed procedure to find GCD of 700, 787, 345, 831 on our page.

3. How to find GCD of 700, 787, 345, 831 on a calculator?

You can find the GCD of 700, 787, 345, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.