GCD of 986, 632, 68, 578 Calculator

Given Input numbers are 986, 632, 68, 578

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 986, 632, 68, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 632, 68, 578 is 2.

Therefore, GCD of numbers 986, 632, 68, 578 is 2

Given Input Data is 986, 632, 68, 578

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 632 is 2 x 2 x 2 x 79

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 578 is 2 x 17 x 17

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, 632) = 311576

GCD(986, 632) = ( 986 x 632 ) / 311576

GCD(986, 632) = 623152 / 311576

GCD(986, 632) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

GCD of 986, 632, 68, 578 is 2

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1. What is the GCD of 986, 632, 68, 578?

GCD of 986, 632, 68, 578 is 2

2. Where do I get the detailed procedure to find GCD of 986, 632, 68, 578?

You can find a detailed procedure to find GCD of 986, 632, 68, 578 on our page.

3. How to find GCD of 986, 632, 68, 578 on a calculator?

You can find the GCD of 986, 632, 68, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.