GCD of 686, 562, 206, 142 Calculator

Given Input numbers are 686, 562, 206, 142

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

Divisors of 686

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

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

Divisors of 562

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

1, 2, 281, 562

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 686, 562, 206, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 562, 206, 142 is 2.

Therefore, GCD of numbers 686, 562, 206, 142 is 2

Given Input Data is 686, 562, 206, 142

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

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 206 is 2 x 103

Prime Factorization of 142 is 2 x 71

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(686, 562) = 192766

GCD(686, 562) = ( 686 x 562 ) / 192766

GCD(686, 562) = 385532 / 192766

GCD(686, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 206

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

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

GCD(2, 206) = 412 / 206

GCD(2, 206) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 142

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

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

GCD(2, 142) = 284 / 142

GCD(2, 142) = 2

GCD of 686, 562, 206, 142 is 2

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• GCD of 343, 713, 603, 610
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1. What is the GCD of 686, 562, 206, 142?

GCD of 686, 562, 206, 142 is 2

2. Where do I get the detailed procedure to find GCD of 686, 562, 206, 142?

You can find a detailed procedure to find GCD of 686, 562, 206, 142 on our page.

3. How to find GCD of 686, 562, 206, 142 on a calculator?

You can find the GCD of 686, 562, 206, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.