GCD of 714, 312, 383, 177 Calculator

Given Input numbers are 714, 312, 383, 177

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 714, 312, 383, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 312, 383, 177 is 1.

Therefore, GCD of numbers 714, 312, 383, 177 is 1

Given Input Data is 714, 312, 383, 177

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 383 is 383

Prime Factorization of 177 is 3 x 59

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(714, 312) = 37128

GCD(714, 312) = ( 714 x 312 ) / 37128

GCD(714, 312) = 222768 / 37128

GCD(714, 312) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 383

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

LCM(6, 383) = 2298

GCD(6, 383) = ( 6 x 383 ) / 2298

GCD(6, 383) = 2298 / 2298

GCD(6, 383) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 714, 312, 383, 177 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 861, 765, 337
• GCD of 158, 765, 830, 458
• GCD of 943, 503, 288, 258
• GCD of 659, 532, 246, 303
• GCD of 458, 274, 345, 619

1. What is the GCD of 714, 312, 383, 177?

GCD of 714, 312, 383, 177 is 1

2. Where do I get the detailed procedure to find GCD of 714, 312, 383, 177?

You can find a detailed procedure to find GCD of 714, 312, 383, 177 on our page.

3. How to find GCD of 714, 312, 383, 177 on a calculator?

You can find the GCD of 714, 312, 383, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.