GCD of 718, 148, 561, 271 Calculator

Given Input numbers are 718, 148, 561, 271

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

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 718, 148, 561, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 148, 561, 271 is 1.

Therefore, GCD of numbers 718, 148, 561, 271 is 1

Given Input Data is 718, 148, 561, 271

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 561 is 3 x 11 x 17

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(718, 148) = 53132

GCD(718, 148) = ( 718 x 148 ) / 53132

GCD(718, 148) = 106264 / 53132

GCD(718, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 561

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

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

GCD(2, 561) = 1122 / 1122

GCD(2, 561) = 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 718, 148, 561, 271 is 1

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1. What is the GCD of 718, 148, 561, 271?

GCD of 718, 148, 561, 271 is 1

2. Where do I get the detailed procedure to find GCD of 718, 148, 561, 271?

You can find a detailed procedure to find GCD of 718, 148, 561, 271 on our page.

3. How to find GCD of 718, 148, 561, 271 on a calculator?

You can find the GCD of 718, 148, 561, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.