GCD of 971, 519, 534, 289 Calculator

Given Input numbers are 971, 519, 534, 289

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

Divisors of 971

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

1, 971

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 971, 519, 534, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 519, 534, 289 is 1.

Therefore, GCD of numbers 971, 519, 534, 289 is 1

Given Input Data is 971, 519, 534, 289

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

Prime Factorization of 971 is 971

Prime Factorization of 519 is 3 x 173

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 289 is 17 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(971, 519) = 503949

GCD(971, 519) = ( 971 x 519 ) / 503949

GCD(971, 519) = 503949 / 503949

GCD(971, 519) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 534

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

LCM(1, 534) = 534

GCD(1, 534) = ( 1 x 534 ) / 534

GCD(1, 534) = 534 / 534

GCD(1, 534) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 971, 519, 534, 289 is 1

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1. What is the GCD of 971, 519, 534, 289?

GCD of 971, 519, 534, 289 is 1

2. Where do I get the detailed procedure to find GCD of 971, 519, 534, 289?

You can find a detailed procedure to find GCD of 971, 519, 534, 289 on our page.

3. How to find GCD of 971, 519, 534, 289 on a calculator?

You can find the GCD of 971, 519, 534, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.