GCD of 686, 973, 28, 143 Calculator

Given Input numbers are 686, 973, 28, 143

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 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 686, 973, 28, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 973, 28, 143 is 1.

Therefore, GCD of numbers 686, 973, 28, 143 is 1

Given Input Data is 686, 973, 28, 143

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 973 is 7 x 139

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 143 is 11 x 13

The above numbers do not have any common prime factor. So GCD is 1

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, 973) = 95354

GCD(686, 973) = ( 686 x 973 ) / 95354

GCD(686, 973) = 667478 / 95354

GCD(686, 973) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 28

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

LCM(7, 28) = 28

GCD(7, 28) = ( 7 x 28 ) / 28

GCD(7, 28) = 196 / 28

GCD(7, 28) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 143

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

LCM(7, 143) = 1001

GCD(7, 143) = ( 7 x 143 ) / 1001

GCD(7, 143) = 1001 / 1001

GCD(7, 143) = 1

GCD of 686, 973, 28, 143 is 1

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• GCD of 851, 466, 77, 956
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1. What is the GCD of 686, 973, 28, 143?

GCD of 686, 973, 28, 143 is 1

2. Where do I get the detailed procedure to find GCD of 686, 973, 28, 143?

You can find a detailed procedure to find GCD of 686, 973, 28, 143 on our page.

3. How to find GCD of 686, 973, 28, 143 on a calculator?

You can find the GCD of 686, 973, 28, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.