GCD of 825, 194, 669, 760 Calculator

Given Input numbers are 825, 194, 669, 760

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 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 825, 194, 669, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 194, 669, 760 is 1.

Therefore, GCD of numbers 825, 194, 669, 760 is 1

Given Input Data is 825, 194, 669, 760

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 194 is 2 x 97

Prime Factorization of 669 is 3 x 223

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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, 194) = 160050

GCD(825, 194) = ( 825 x 194 ) / 160050

GCD(825, 194) = 160050 / 160050

GCD(825, 194) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 825, 194, 669, 760 is 1

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1. What is the GCD of 825, 194, 669, 760?

GCD of 825, 194, 669, 760 is 1

2. Where do I get the detailed procedure to find GCD of 825, 194, 669, 760?

You can find a detailed procedure to find GCD of 825, 194, 669, 760 on our page.

3. How to find GCD of 825, 194, 669, 760 on a calculator?

You can find the GCD of 825, 194, 669, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.