GCD of 971, 846, 66, 856 Calculator

Given Input numbers are 971, 846, 66, 856

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 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 971, 846, 66, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 846, 66, 856 is 1.

Therefore, GCD of numbers 971, 846, 66, 856 is 1

Given Input Data is 971, 846, 66, 856

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

Prime Factorization of 971 is 971

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 856 is 2 x 2 x 2 x 107

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, 846) = 821466

GCD(971, 846) = ( 971 x 846 ) / 821466

GCD(971, 846) = 821466 / 821466

GCD(971, 846) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 971, 846, 66, 856 is 1

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1. What is the GCD of 971, 846, 66, 856?

GCD of 971, 846, 66, 856 is 1

2. Where do I get the detailed procedure to find GCD of 971, 846, 66, 856?

You can find a detailed procedure to find GCD of 971, 846, 66, 856 on our page.

3. How to find GCD of 971, 846, 66, 856 on a calculator?

You can find the GCD of 971, 846, 66, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.