GCD of 80, 995, 614, 271 Calculator

Given Input numbers are 80, 995, 614, 271

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 80, 995, 614, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 995, 614, 271 is 1.

Therefore, GCD of numbers 80, 995, 614, 271 is 1

Given Input Data is 80, 995, 614, 271

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 995 is 5 x 199

Prime Factorization of 614 is 2 x 307

Prime Factorization of 271 is 271

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(80, 995) = 15920

GCD(80, 995) = ( 80 x 995 ) / 15920

GCD(80, 995) = 79600 / 15920

GCD(80, 995) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 614

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

LCM(5, 614) = 3070

GCD(5, 614) = ( 5 x 614 ) / 3070

GCD(5, 614) = 3070 / 3070

GCD(5, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 80, 995, 614, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 472, 343, 903
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• GCD of 77, 535, 217, 674
• GCD of 78, 910, 687, 144
• GCD of 20, 333, 827, 838

1. What is the GCD of 80, 995, 614, 271?

GCD of 80, 995, 614, 271 is 1

2. Where do I get the detailed procedure to find GCD of 80, 995, 614, 271?

You can find a detailed procedure to find GCD of 80, 995, 614, 271 on our page.

3. How to find GCD of 80, 995, 614, 271 on a calculator?

You can find the GCD of 80, 995, 614, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.