GCD of 991, 387, 940, 517 Calculator

Given Input numbers are 991, 387, 940, 517

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 991, 387, 940, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 387, 940, 517 is 1.

Therefore, GCD of numbers 991, 387, 940, 517 is 1

Given Input Data is 991, 387, 940, 517

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

Prime Factorization of 991 is 991

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 517 is 11 x 47

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(991, 387) = 383517

GCD(991, 387) = ( 991 x 387 ) / 383517

GCD(991, 387) = 383517 / 383517

GCD(991, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 991, 387, 940, 517 is 1

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• GCD of 491, 498, 902, 785
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1. What is the GCD of 991, 387, 940, 517?

GCD of 991, 387, 940, 517 is 1

2. Where do I get the detailed procedure to find GCD of 991, 387, 940, 517?

You can find a detailed procedure to find GCD of 991, 387, 940, 517 on our page.

3. How to find GCD of 991, 387, 940, 517 on a calculator?

You can find the GCD of 991, 387, 940, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.