GCD of 700, 806, 847, 537 Calculator

Given Input numbers are 700, 806, 847, 537

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 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 700, 806, 847, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 806, 847, 537 is 1.

Therefore, GCD of numbers 700, 806, 847, 537 is 1

Given Input Data is 700, 806, 847, 537

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 806 is 2 x 13 x 31

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 537 is 3 x 179

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, 806) = 282100

GCD(700, 806) = ( 700 x 806 ) / 282100

GCD(700, 806) = 564200 / 282100

GCD(700, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 847

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

LCM(2, 847) = 1694

GCD(2, 847) = ( 2 x 847 ) / 1694

GCD(2, 847) = 1694 / 1694

GCD(2, 847) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 700, 806, 847, 537 is 1

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1. What is the GCD of 700, 806, 847, 537?

GCD of 700, 806, 847, 537 is 1

2. Where do I get the detailed procedure to find GCD of 700, 806, 847, 537?

You can find a detailed procedure to find GCD of 700, 806, 847, 537 on our page.

3. How to find GCD of 700, 806, 847, 537 on a calculator?

You can find the GCD of 700, 806, 847, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.