GCD of 37, 991, 253, 161 Calculator

Given Input numbers are 37, 991, 253, 161

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 37, 991, 253, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 991, 253, 161 is 1.

Therefore, GCD of numbers 37, 991, 253, 161 is 1

Given Input Data is 37, 991, 253, 161

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

Prime Factorization of 37 is 37

Prime Factorization of 991 is 991

Prime Factorization of 253 is 11 x 23

Prime Factorization of 161 is 7 x 23

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(37, 991) = 36667

GCD(37, 991) = ( 37 x 991 ) / 36667

GCD(37, 991) = 36667 / 36667

GCD(37, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 37, 991, 253, 161 is 1

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1. What is the GCD of 37, 991, 253, 161?

GCD of 37, 991, 253, 161 is 1

2. Where do I get the detailed procedure to find GCD of 37, 991, 253, 161?

You can find a detailed procedure to find GCD of 37, 991, 253, 161 on our page.

3. How to find GCD of 37, 991, 253, 161 on a calculator?

You can find the GCD of 37, 991, 253, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.