GCD of 975, 123, 325, 846 Calculator

Given Input numbers are 975, 123, 325, 846

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 123

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

1, 3, 41, 123

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 975, 123, 325, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 123, 325, 846 is 1.

Therefore, GCD of numbers 975, 123, 325, 846 is 1

Given Input Data is 975, 123, 325, 846

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 123 is 3 x 41

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 846 is 2 x 3 x 3 x 47

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, 123) = 39975

GCD(975, 123) = ( 975 x 123 ) / 39975

GCD(975, 123) = 119925 / 39975

GCD(975, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 325

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

LCM(3, 325) = 975

GCD(3, 325) = ( 3 x 325 ) / 975

GCD(3, 325) = 975 / 975

GCD(3, 325) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 975, 123, 325, 846 is 1

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1. What is the GCD of 975, 123, 325, 846?

GCD of 975, 123, 325, 846 is 1

2. Where do I get the detailed procedure to find GCD of 975, 123, 325, 846?

You can find a detailed procedure to find GCD of 975, 123, 325, 846 on our page.

3. How to find GCD of 975, 123, 325, 846 on a calculator?

You can find the GCD of 975, 123, 325, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.