GCD of 986, 380, 62, 542 Calculator

Given Input numbers are 986, 380, 62, 542

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 986, 380, 62, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 380, 62, 542 is 2.

Therefore, GCD of numbers 986, 380, 62, 542 is 2

Given Input Data is 986, 380, 62, 542

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 62 is 2 x 31

Prime Factorization of 542 is 2 x 271

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(986, 380) = 187340

GCD(986, 380) = ( 986 x 380 ) / 187340

GCD(986, 380) = 374680 / 187340

GCD(986, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

GCD of 986, 380, 62, 542 is 2

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1. What is the GCD of 986, 380, 62, 542?

GCD of 986, 380, 62, 542 is 2

2. Where do I get the detailed procedure to find GCD of 986, 380, 62, 542?

You can find a detailed procedure to find GCD of 986, 380, 62, 542 on our page.

3. How to find GCD of 986, 380, 62, 542 on a calculator?

You can find the GCD of 986, 380, 62, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.