GCD of 699, 423, 316, 610 Calculator

Given Input numbers are 699, 423, 316, 610

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

Divisors of 699

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

1, 3, 233, 699

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 699, 423, 316, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 423, 316, 610 is 1.

Therefore, GCD of numbers 699, 423, 316, 610 is 1

Given Input Data is 699, 423, 316, 610

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 610 is 2 x 5 x 61

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(699, 423) = 98559

GCD(699, 423) = ( 699 x 423 ) / 98559

GCD(699, 423) = 295677 / 98559

GCD(699, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 316

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

LCM(3, 316) = 948

GCD(3, 316) = ( 3 x 316 ) / 948

GCD(3, 316) = 948 / 948

GCD(3, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

GCD of 699, 423, 316, 610 is 1

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1. What is the GCD of 699, 423, 316, 610?

GCD of 699, 423, 316, 610 is 1

2. Where do I get the detailed procedure to find GCD of 699, 423, 316, 610?

You can find a detailed procedure to find GCD of 699, 423, 316, 610 on our page.

3. How to find GCD of 699, 423, 316, 610 on a calculator?

You can find the GCD of 699, 423, 316, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.