GCD of 759, 846, 191, 971 Calculator

Given Input numbers are 759, 846, 191, 971

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

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 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 971

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

1, 971

Greatest Common Divisior

We found the divisors of 759, 846, 191, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 846, 191, 971 is 1.

Therefore, GCD of numbers 759, 846, 191, 971 is 1

Given Input Data is 759, 846, 191, 971

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

Prime Factorization of 759 is 3 x 11 x 23

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

Prime Factorization of 191 is 191

Prime Factorization of 971 is 971

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(759, 846) = 214038

GCD(759, 846) = ( 759 x 846 ) / 214038

GCD(759, 846) = 642114 / 214038

GCD(759, 846) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 191

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

LCM(3, 191) = 573

GCD(3, 191) = ( 3 x 191 ) / 573

GCD(3, 191) = 573 / 573

GCD(3, 191) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 759, 846, 191, 971 is 1

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1. What is the GCD of 759, 846, 191, 971?

GCD of 759, 846, 191, 971 is 1

2. Where do I get the detailed procedure to find GCD of 759, 846, 191, 971?

You can find a detailed procedure to find GCD of 759, 846, 191, 971 on our page.

3. How to find GCD of 759, 846, 191, 971 on a calculator?

You can find the GCD of 759, 846, 191, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.