GCD of 58, 982, 278, 554 Calculator

Given Input numbers are 58, 982, 278, 554

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 58, 982, 278, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 982, 278, 554 is 2.

Therefore, GCD of numbers 58, 982, 278, 554 is 2

Given Input Data is 58, 982, 278, 554

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 982 is 2 x 491

Prime Factorization of 278 is 2 x 139

Prime Factorization of 554 is 2 x 277

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, 982) = 28478

GCD(58, 982) = ( 58 x 982 ) / 28478

GCD(58, 982) = 56956 / 28478

GCD(58, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 278

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

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

GCD(2, 278) = 556 / 278

GCD(2, 278) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 554

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

LCM(2, 554) = 554

GCD(2, 554) = ( 2 x 554 ) / 554

GCD(2, 554) = 1108 / 554

GCD(2, 554) = 2

GCD of 58, 982, 278, 554 is 2

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• GCD of 96, 181, 763, 821
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1. What is the GCD of 58, 982, 278, 554?

GCD of 58, 982, 278, 554 is 2

2. Where do I get the detailed procedure to find GCD of 58, 982, 278, 554?

You can find a detailed procedure to find GCD of 58, 982, 278, 554 on our page.

3. How to find GCD of 58, 982, 278, 554 on a calculator?

You can find the GCD of 58, 982, 278, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.