GCD of 805, 470, 747, 537 Calculator

Given Input numbers are 805, 470, 747, 537

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 805, 470, 747, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 470, 747, 537 is 1.

Therefore, GCD of numbers 805, 470, 747, 537 is 1

Given Input Data is 805, 470, 747, 537

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 747 is 3 x 3 x 83

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(805, 470) = 75670

GCD(805, 470) = ( 805 x 470 ) / 75670

GCD(805, 470) = 378350 / 75670

GCD(805, 470) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 747

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

LCM(5, 747) = 3735

GCD(5, 747) = ( 5 x 747 ) / 3735

GCD(5, 747) = 3735 / 3735

GCD(5, 747) = 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 805, 470, 747, 537 is 1

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1. What is the GCD of 805, 470, 747, 537?

GCD of 805, 470, 747, 537 is 1

2. Where do I get the detailed procedure to find GCD of 805, 470, 747, 537?

You can find a detailed procedure to find GCD of 805, 470, 747, 537 on our page.

3. How to find GCD of 805, 470, 747, 537 on a calculator?

You can find the GCD of 805, 470, 747, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.