GCD of 562, 274, 986 Calculator

Given Input numbers are 562, 274, 986

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 986

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

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

Greatest Common Divisior

We found the divisors of 562, 274, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 274, 986 is 2.

Therefore, GCD of numbers 562, 274, 986 is 2

Given Input Data is 562, 274, 986

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 274 is 2 x 137

Prime Factorization of 986 is 2 x 17 x 29

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(562, 274) = 76994

GCD(562, 274) = ( 562 x 274 ) / 76994

GCD(562, 274) = 153988 / 76994

GCD(562, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 562, 274, 986 is 2

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1. What is the GCD of 562, 274, 986?

GCD of 562, 274, 986 is 2

2. Where do I get the detailed procedure to find GCD of 562, 274, 986?

You can find a detailed procedure to find GCD of 562, 274, 986 on our page.

3. How to find GCD of 562, 274, 986 on a calculator?

You can find the GCD of 562, 274, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.