GCD of 59, 271, 747, 758 Calculator

Given Input numbers are 59, 271, 747, 758

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 271

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

1, 271

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 59, 271, 747, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 271, 747, 758 is 1.

Therefore, GCD of numbers 59, 271, 747, 758 is 1

Given Input Data is 59, 271, 747, 758

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

Prime Factorization of 59 is 59

Prime Factorization of 271 is 271

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 758 is 2 x 379

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(59, 271) = 15989

GCD(59, 271) = ( 59 x 271 ) / 15989

GCD(59, 271) = 15989 / 15989

GCD(59, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 59, 271, 747, 758 is 1

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1. What is the GCD of 59, 271, 747, 758?

GCD of 59, 271, 747, 758 is 1

2. Where do I get the detailed procedure to find GCD of 59, 271, 747, 758?

You can find a detailed procedure to find GCD of 59, 271, 747, 758 on our page.

3. How to find GCD of 59, 271, 747, 758 on a calculator?

You can find the GCD of 59, 271, 747, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.