GCD of 742, 992, 568, 686 Calculator

Given Input numbers are 742, 992, 568, 686

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 742, 992, 568, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 992, 568, 686 is 2.

Therefore, GCD of numbers 742, 992, 568, 686 is 2

Given Input Data is 742, 992, 568, 686

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(742, 992) = 368032

GCD(742, 992) = ( 742 x 992 ) / 368032

GCD(742, 992) = 736064 / 368032

GCD(742, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 568

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

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

GCD(2, 568) = 1136 / 568

GCD(2, 568) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

GCD of 742, 992, 568, 686 is 2

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1. What is the GCD of 742, 992, 568, 686?

GCD of 742, 992, 568, 686 is 2

2. Where do I get the detailed procedure to find GCD of 742, 992, 568, 686?

You can find a detailed procedure to find GCD of 742, 992, 568, 686 on our page.

3. How to find GCD of 742, 992, 568, 686 on a calculator?

You can find the GCD of 742, 992, 568, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.