GCD of 361, 975, 41, 959 Calculator

Given Input numbers are 361, 975, 41, 959

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 361, 975, 41, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 975, 41, 959 is 1.

Therefore, GCD of numbers 361, 975, 41, 959 is 1

Given Input Data is 361, 975, 41, 959

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

Prime Factorization of 361 is 19 x 19

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

Prime Factorization of 41 is 41

Prime Factorization of 959 is 7 x 137

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(361, 975) = 351975

GCD(361, 975) = ( 361 x 975 ) / 351975

GCD(361, 975) = 351975 / 351975

GCD(361, 975) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 361, 975, 41, 959 is 1

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1. What is the GCD of 361, 975, 41, 959?

GCD of 361, 975, 41, 959 is 1

2. Where do I get the detailed procedure to find GCD of 361, 975, 41, 959?

You can find a detailed procedure to find GCD of 361, 975, 41, 959 on our page.

3. How to find GCD of 361, 975, 41, 959 on a calculator?

You can find the GCD of 361, 975, 41, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.