GCD of 758, 496, 89, 842 Calculator

Given Input numbers are 758, 496, 89, 842

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

Divisors of 758

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

1, 2, 379, 758

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 758, 496, 89, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 496, 89, 842 is 1.

Therefore, GCD of numbers 758, 496, 89, 842 is 1

Given Input Data is 758, 496, 89, 842

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 89 is 89

Prime Factorization of 842 is 2 x 421

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(758, 496) = 187984

GCD(758, 496) = ( 758 x 496 ) / 187984

GCD(758, 496) = 375968 / 187984

GCD(758, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 758, 496, 89, 842 is 1

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1. What is the GCD of 758, 496, 89, 842?

GCD of 758, 496, 89, 842 is 1

2. Where do I get the detailed procedure to find GCD of 758, 496, 89, 842?

You can find a detailed procedure to find GCD of 758, 496, 89, 842 on our page.

3. How to find GCD of 758, 496, 89, 842 on a calculator?

You can find the GCD of 758, 496, 89, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.