GCD of 58, 668, 734, 758 Calculator

Given Input numbers are 58, 668, 734, 758

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

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 58, 668, 734, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 668, 734, 758 is 2.

Therefore, GCD of numbers 58, 668, 734, 758 is 2

Given Input Data is 58, 668, 734, 758

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 734 is 2 x 367

Prime Factorization of 758 is 2 x 379

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(58, 668) = 19372

GCD(58, 668) = ( 58 x 668 ) / 19372

GCD(58, 668) = 38744 / 19372

GCD(58, 668) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 58, 668, 734, 758 is 2

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1. What is the GCD of 58, 668, 734, 758?

GCD of 58, 668, 734, 758 is 2

2. Where do I get the detailed procedure to find GCD of 58, 668, 734, 758?

You can find a detailed procedure to find GCD of 58, 668, 734, 758 on our page.

3. How to find GCD of 58, 668, 734, 758 on a calculator?

You can find the GCD of 58, 668, 734, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.