GCD of 714, 765, 838, 362 Calculator

Given Input numbers are 714, 765, 838, 362

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 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 714, 765, 838, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 765, 838, 362 is 1.

Therefore, GCD of numbers 714, 765, 838, 362 is 1

Given Input Data is 714, 765, 838, 362

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 765 is 3 x 3 x 5 x 17

Prime Factorization of 838 is 2 x 419

Prime Factorization of 362 is 2 x 181

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, 765) = 10710

GCD(714, 765) = ( 714 x 765 ) / 10710

GCD(714, 765) = 546210 / 10710

GCD(714, 765) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 838

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

LCM(51, 838) = 42738

GCD(51, 838) = ( 51 x 838 ) / 42738

GCD(51, 838) = 42738 / 42738

GCD(51, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 714, 765, 838, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 527, 164, 488
• GCD of 154, 539, 196, 652
• GCD of 550, 277, 549, 753
• GCD of 878, 680, 539, 165
• GCD of 671, 417, 911, 880

1. What is the GCD of 714, 765, 838, 362?

GCD of 714, 765, 838, 362 is 1

2. Where do I get the detailed procedure to find GCD of 714, 765, 838, 362?

You can find a detailed procedure to find GCD of 714, 765, 838, 362 on our page.

3. How to find GCD of 714, 765, 838, 362 on a calculator?

You can find the GCD of 714, 765, 838, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.