GCD of 723, 705, 971, 291 Calculator

Given Input numbers are 723, 705, 971, 291

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 971

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

1, 971

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 723, 705, 971, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 705, 971, 291 is 1.

Therefore, GCD of numbers 723, 705, 971, 291 is 1

Given Input Data is 723, 705, 971, 291

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 971 is 971

Prime Factorization of 291 is 3 x 97

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(723, 705) = 169905

GCD(723, 705) = ( 723 x 705 ) / 169905

GCD(723, 705) = 509715 / 169905

GCD(723, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 971

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

LCM(3, 971) = 2913

GCD(3, 971) = ( 3 x 971 ) / 2913

GCD(3, 971) = 2913 / 2913

GCD(3, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 723, 705, 971, 291 is 1

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1. What is the GCD of 723, 705, 971, 291?

GCD of 723, 705, 971, 291 is 1

2. Where do I get the detailed procedure to find GCD of 723, 705, 971, 291?

You can find a detailed procedure to find GCD of 723, 705, 971, 291 on our page.

3. How to find GCD of 723, 705, 971, 291 on a calculator?

You can find the GCD of 723, 705, 971, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.