GCD of 975, 143, 42, 221 Calculator

Given Input numbers are 975, 143, 42, 221

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 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 975, 143, 42, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 143, 42, 221 is 1.

Therefore, GCD of numbers 975, 143, 42, 221 is 1

Given Input Data is 975, 143, 42, 221

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 143 is 11 x 13

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 221 is 13 x 17

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, 143) = 10725

GCD(975, 143) = ( 975 x 143 ) / 10725

GCD(975, 143) = 139425 / 10725

GCD(975, 143) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 42

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

LCM(13, 42) = 546

GCD(13, 42) = ( 13 x 42 ) / 546

GCD(13, 42) = 546 / 546

GCD(13, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 975, 143, 42, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 398, 88, 467
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• GCD of 114, 909, 25, 345
• GCD of 750, 612, 93, 212

1. What is the GCD of 975, 143, 42, 221?

GCD of 975, 143, 42, 221 is 1

2. Where do I get the detailed procedure to find GCD of 975, 143, 42, 221?

You can find a detailed procedure to find GCD of 975, 143, 42, 221 on our page.

3. How to find GCD of 975, 143, 42, 221 on a calculator?

You can find the GCD of 975, 143, 42, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.