GCD of 971, 534, 646, 306 Calculator

Given Input numbers are 971, 534, 646, 306

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 534

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

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 971, 534, 646, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 534, 646, 306 is 1.

Therefore, GCD of numbers 971, 534, 646, 306 is 1

Given Input Data is 971, 534, 646, 306

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

Prime Factorization of 971 is 971

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 306 is 2 x 3 x 3 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, 534) = 518514

GCD(971, 534) = ( 971 x 534 ) / 518514

GCD(971, 534) = 518514 / 518514

GCD(971, 534) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 971, 534, 646, 306 is 1

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• GCD of 385, 957, 904, 346
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1. What is the GCD of 971, 534, 646, 306?

GCD of 971, 534, 646, 306 is 1

2. Where do I get the detailed procedure to find GCD of 971, 534, 646, 306?

You can find a detailed procedure to find GCD of 971, 534, 646, 306 on our page.

3. How to find GCD of 971, 534, 646, 306 on a calculator?

You can find the GCD of 971, 534, 646, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.