GCD of 59, 749, 955, 314 Calculator

Given Input numbers are 59, 749, 955, 314

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 59, 749, 955, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 749, 955, 314 is 1.

Therefore, GCD of numbers 59, 749, 955, 314 is 1

Given Input Data is 59, 749, 955, 314

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

Prime Factorization of 59 is 59

Prime Factorization of 749 is 7 x 107

Prime Factorization of 955 is 5 x 191

Prime Factorization of 314 is 2 x 157

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(59, 749) = 44191

GCD(59, 749) = ( 59 x 749 ) / 44191

GCD(59, 749) = 44191 / 44191

GCD(59, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 59, 749, 955, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 700, 425, 197
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• GCD of 58, 537, 658, 909

1. What is the GCD of 59, 749, 955, 314?

GCD of 59, 749, 955, 314 is 1

2. Where do I get the detailed procedure to find GCD of 59, 749, 955, 314?

You can find a detailed procedure to find GCD of 59, 749, 955, 314 on our page.

3. How to find GCD of 59, 749, 955, 314 on a calculator?

You can find the GCD of 59, 749, 955, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.