GCD of 825, 505, 647, 975 Calculator

Given Input numbers are 825, 505, 647, 975

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

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

Greatest Common Divisior

We found the divisors of 825, 505, 647, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 505, 647, 975 is 1.

Therefore, GCD of numbers 825, 505, 647, 975 is 1

Given Input Data is 825, 505, 647, 975

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 505 is 5 x 101

Prime Factorization of 647 is 647

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

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(825, 505) = 83325

GCD(825, 505) = ( 825 x 505 ) / 83325

GCD(825, 505) = 416625 / 83325

GCD(825, 505) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 647

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

LCM(5, 647) = 3235

GCD(5, 647) = ( 5 x 647 ) / 3235

GCD(5, 647) = 3235 / 3235

GCD(5, 647) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 825, 505, 647, 975 is 1

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• GCD of 143, 809, 622, 508
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1. What is the GCD of 825, 505, 647, 975?

GCD of 825, 505, 647, 975 is 1

2. Where do I get the detailed procedure to find GCD of 825, 505, 647, 975?

You can find a detailed procedure to find GCD of 825, 505, 647, 975 on our page.

3. How to find GCD of 825, 505, 647, 975 on a calculator?

You can find the GCD of 825, 505, 647, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.