GCD of 616, 685, 699, 143 Calculator

Given Input numbers are 616, 685, 699, 143

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

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 616, 685, 699, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 685, 699, 143 is 1.

Therefore, GCD of numbers 616, 685, 699, 143 is 1

Given Input Data is 616, 685, 699, 143

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 685 is 5 x 137

Prime Factorization of 699 is 3 x 233

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(616, 685) = 421960

GCD(616, 685) = ( 616 x 685 ) / 421960

GCD(616, 685) = 421960 / 421960

GCD(616, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 616, 685, 699, 143 is 1

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1. What is the GCD of 616, 685, 699, 143?

GCD of 616, 685, 699, 143 is 1

2. Where do I get the detailed procedure to find GCD of 616, 685, 699, 143?

You can find a detailed procedure to find GCD of 616, 685, 699, 143 on our page.

3. How to find GCD of 616, 685, 699, 143 on a calculator?

You can find the GCD of 616, 685, 699, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.