GCD of 975, 699, 501, 805 Calculator

Given Input numbers are 975, 699, 501, 805

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 805

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

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

Greatest Common Divisior

We found the divisors of 975, 699, 501, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 699, 501, 805 is 1.

Therefore, GCD of numbers 975, 699, 501, 805 is 1

Given Input Data is 975, 699, 501, 805

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 699 is 3 x 233

Prime Factorization of 501 is 3 x 167

Prime Factorization of 805 is 5 x 7 x 23

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(975, 699) = 227175

GCD(975, 699) = ( 975 x 699 ) / 227175

GCD(975, 699) = 681525 / 227175

GCD(975, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 501

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

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

GCD(3, 501) = 1503 / 501

GCD(3, 501) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 805

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

LCM(3, 805) = 2415

GCD(3, 805) = ( 3 x 805 ) / 2415

GCD(3, 805) = 2415 / 2415

GCD(3, 805) = 1

GCD of 975, 699, 501, 805 is 1

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1. What is the GCD of 975, 699, 501, 805?

GCD of 975, 699, 501, 805 is 1

2. Where do I get the detailed procedure to find GCD of 975, 699, 501, 805?

You can find a detailed procedure to find GCD of 975, 699, 501, 805 on our page.

3. How to find GCD of 975, 699, 501, 805 on a calculator?

You can find the GCD of 975, 699, 501, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.