GCD of 271, 938, 745, 718 Calculator

Given Input numbers are 271, 938, 745, 718

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 718

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

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 271, 938, 745, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 938, 745, 718 is 1.

Therefore, GCD of numbers 271, 938, 745, 718 is 1

Given Input Data is 271, 938, 745, 718

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

Prime Factorization of 271 is 271

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 745 is 5 x 149

Prime Factorization of 718 is 2 x 359

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, 938) = 254198

GCD(271, 938) = ( 271 x 938 ) / 254198

GCD(271, 938) = 254198 / 254198

GCD(271, 938) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 271, 938, 745, 718 is 1

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1. What is the GCD of 271, 938, 745, 718?

GCD of 271, 938, 745, 718 is 1

2. Where do I get the detailed procedure to find GCD of 271, 938, 745, 718?

You can find a detailed procedure to find GCD of 271, 938, 745, 718 on our page.

3. How to find GCD of 271, 938, 745, 718 on a calculator?

You can find the GCD of 271, 938, 745, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.