GCD of 249, 971, 54, 734 Calculator

Given Input numbers are 249, 971, 54, 734

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 249, 971, 54, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 971, 54, 734 is 1.

Therefore, GCD of numbers 249, 971, 54, 734 is 1

Given Input Data is 249, 971, 54, 734

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 971 is 971

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 734 is 2 x 367

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(249, 971) = 241779

GCD(249, 971) = ( 249 x 971 ) / 241779

GCD(249, 971) = 241779 / 241779

GCD(249, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 249, 971, 54, 734 is 1

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1. What is the GCD of 249, 971, 54, 734?

GCD of 249, 971, 54, 734 is 1

2. Where do I get the detailed procedure to find GCD of 249, 971, 54, 734?

You can find a detailed procedure to find GCD of 249, 971, 54, 734 on our page.

3. How to find GCD of 249, 971, 54, 734 on a calculator?

You can find the GCD of 249, 971, 54, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.