GCD of 658, 339, 14, 953 Calculator

Given Input numbers are 658, 339, 14, 953

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 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 658, 339, 14, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 339, 14, 953 is 1.

Therefore, GCD of numbers 658, 339, 14, 953 is 1

Given Input Data is 658, 339, 14, 953

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 339 is 3 x 113

Prime Factorization of 14 is 2 x 7

Prime Factorization of 953 is 953

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, 339) = 223062

GCD(658, 339) = ( 658 x 339 ) / 223062

GCD(658, 339) = 223062 / 223062

GCD(658, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 658, 339, 14, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 234, 58, 160
• GCD of 787, 522, 80, 979
• GCD of 791, 915, 57, 214
• GCD of 456, 791, 31, 914
• GCD of 370, 883, 25, 906

1. What is the GCD of 658, 339, 14, 953?

GCD of 658, 339, 14, 953 is 1

2. Where do I get the detailed procedure to find GCD of 658, 339, 14, 953?

You can find a detailed procedure to find GCD of 658, 339, 14, 953 on our page.

3. How to find GCD of 658, 339, 14, 953 on a calculator?

You can find the GCD of 658, 339, 14, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.