GCD of 271, 152, 757, 830 Calculator

Given Input numbers are 271, 152, 757, 830

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

Divisors of 271

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

1, 271

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 271, 152, 757, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 152, 757, 830 is 1.

Therefore, GCD of numbers 271, 152, 757, 830 is 1

Given Input Data is 271, 152, 757, 830

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

Prime Factorization of 271 is 271

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 757 is 757

Prime Factorization of 830 is 2 x 5 x 83

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(271, 152) = 41192

GCD(271, 152) = ( 271 x 152 ) / 41192

GCD(271, 152) = 41192 / 41192

GCD(271, 152) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 271, 152, 757, 830 is 1

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1. What is the GCD of 271, 152, 757, 830?

GCD of 271, 152, 757, 830 is 1

2. Where do I get the detailed procedure to find GCD of 271, 152, 757, 830?

You can find a detailed procedure to find GCD of 271, 152, 757, 830 on our page.

3. How to find GCD of 271, 152, 757, 830 on a calculator?

You can find the GCD of 271, 152, 757, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.