GCD of 715, 313, 66, 114 Calculator

Given Input numbers are 715, 313, 66, 114

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

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 715, 313, 66, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 313, 66, 114 is 1.

Therefore, GCD of numbers 715, 313, 66, 114 is 1

Given Input Data is 715, 313, 66, 114

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 313 is 313

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 114 is 2 x 3 x 19

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(715, 313) = 223795

GCD(715, 313) = ( 715 x 313 ) / 223795

GCD(715, 313) = 223795 / 223795

GCD(715, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 715, 313, 66, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 322, 68, 600
• GCD of 835, 118, 81, 499
• GCD of 129, 493, 63, 972
• GCD of 403, 337, 76, 872
• GCD of 314, 676, 65, 429

1. What is the GCD of 715, 313, 66, 114?

GCD of 715, 313, 66, 114 is 1

2. Where do I get the detailed procedure to find GCD of 715, 313, 66, 114?

You can find a detailed procedure to find GCD of 715, 313, 66, 114 on our page.

3. How to find GCD of 715, 313, 66, 114 on a calculator?

You can find the GCD of 715, 313, 66, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.