GCD of 658, 859, 449, 316 Calculator

Given Input numbers are 658, 859, 449, 316

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 316

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

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 658, 859, 449, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 859, 449, 316 is 1.

Therefore, GCD of numbers 658, 859, 449, 316 is 1

Given Input Data is 658, 859, 449, 316

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 859 is 859

Prime Factorization of 449 is 449

Prime Factorization of 316 is 2 x 2 x 79

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(658, 859) = 565222

GCD(658, 859) = ( 658 x 859 ) / 565222

GCD(658, 859) = 565222 / 565222

GCD(658, 859) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 658, 859, 449, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 264, 899, 227
• GCD of 479, 958, 883, 627
• GCD of 779, 629, 529, 221
• GCD of 606, 430, 238, 396
• GCD of 714, 799, 587, 345

1. What is the GCD of 658, 859, 449, 316?

GCD of 658, 859, 449, 316 is 1

2. Where do I get the detailed procedure to find GCD of 658, 859, 449, 316?

You can find a detailed procedure to find GCD of 658, 859, 449, 316 on our page.

3. How to find GCD of 658, 859, 449, 316 on a calculator?

You can find the GCD of 658, 859, 449, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.