GCD of 714, 738, 49, 265 Calculator

Given Input numbers are 714, 738, 49, 265

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 714, 738, 49, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 738, 49, 265 is 1.

Therefore, GCD of numbers 714, 738, 49, 265 is 1

Given Input Data is 714, 738, 49, 265

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 49 is 7 x 7

Prime Factorization of 265 is 5 x 53

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, 738) = 87822

GCD(714, 738) = ( 714 x 738 ) / 87822

GCD(714, 738) = 526932 / 87822

GCD(714, 738) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 49

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

LCM(6, 49) = 294

GCD(6, 49) = ( 6 x 49 ) / 294

GCD(6, 49) = 294 / 294

GCD(6, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 714, 738, 49, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 806, 87, 619
• GCD of 400, 143, 12, 152
• GCD of 123, 860, 13, 670
• GCD of 595, 952, 76, 668
• GCD of 497, 755, 25, 653

1. What is the GCD of 714, 738, 49, 265?

GCD of 714, 738, 49, 265 is 1

2. Where do I get the detailed procedure to find GCD of 714, 738, 49, 265?

You can find a detailed procedure to find GCD of 714, 738, 49, 265 on our page.

3. How to find GCD of 714, 738, 49, 265 on a calculator?

You can find the GCD of 714, 738, 49, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.