GCD of 258, 991, 45, 152 Calculator

Given Input numbers are 258, 991, 45, 152

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 991

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

1, 991

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 258, 991, 45, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 991, 45, 152 is 1.

Therefore, GCD of numbers 258, 991, 45, 152 is 1

Given Input Data is 258, 991, 45, 152

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 991 is 991

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(258, 991) = 255678

GCD(258, 991) = ( 258 x 991 ) / 255678

GCD(258, 991) = 255678 / 255678

GCD(258, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 258, 991, 45, 152 is 1

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1. What is the GCD of 258, 991, 45, 152?

GCD of 258, 991, 45, 152 is 1

2. Where do I get the detailed procedure to find GCD of 258, 991, 45, 152?

You can find a detailed procedure to find GCD of 258, 991, 45, 152 on our page.

3. How to find GCD of 258, 991, 45, 152 on a calculator?

You can find the GCD of 258, 991, 45, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.