GCD of 548, 969, 123, 825 Calculator

Given Input numbers are 548, 969, 123, 825

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

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

Greatest Common Divisior

We found the divisors of 548, 969, 123, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 969, 123, 825 is 1.

Therefore, GCD of numbers 548, 969, 123, 825 is 1

Given Input Data is 548, 969, 123, 825

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 123 is 3 x 41

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

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(548, 969) = 531012

GCD(548, 969) = ( 548 x 969 ) / 531012

GCD(548, 969) = 531012 / 531012

GCD(548, 969) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 548, 969, 123, 825 is 1

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1. What is the GCD of 548, 969, 123, 825?

GCD of 548, 969, 123, 825 is 1

2. Where do I get the detailed procedure to find GCD of 548, 969, 123, 825?

You can find a detailed procedure to find GCD of 548, 969, 123, 825 on our page.

3. How to find GCD of 548, 969, 123, 825 on a calculator?

You can find the GCD of 548, 969, 123, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.