GCD of 686, 654, 142, 807 Calculator

Given Input numbers are 686, 654, 142, 807

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 142

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

1, 2, 71, 142

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 686, 654, 142, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 654, 142, 807 is 1.

Therefore, GCD of numbers 686, 654, 142, 807 is 1

Given Input Data is 686, 654, 142, 807

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 654 is 2 x 3 x 109

Prime Factorization of 142 is 2 x 71

Prime Factorization of 807 is 3 x 269

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, 654) = 224322

GCD(686, 654) = ( 686 x 654 ) / 224322

GCD(686, 654) = 448644 / 224322

GCD(686, 654) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 807

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

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

GCD(2, 807) = 1614 / 1614

GCD(2, 807) = 1

GCD of 686, 654, 142, 807 is 1

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1. What is the GCD of 686, 654, 142, 807?

GCD of 686, 654, 142, 807 is 1

2. Where do I get the detailed procedure to find GCD of 686, 654, 142, 807?

You can find a detailed procedure to find GCD of 686, 654, 142, 807 on our page.

3. How to find GCD of 686, 654, 142, 807 on a calculator?

You can find the GCD of 686, 654, 142, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.