GCD of 726, 707, 914, 707 Calculator

Given Input numbers are 726, 707, 914, 707

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 726, 707, 914, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 707, 914, 707 is 1.

Therefore, GCD of numbers 726, 707, 914, 707 is 1

Given Input Data is 726, 707, 914, 707

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 707 is 7 x 101

Prime Factorization of 914 is 2 x 457

Prime Factorization of 707 is 7 x 101

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(726, 707) = 513282

GCD(726, 707) = ( 726 x 707 ) / 513282

GCD(726, 707) = 513282 / 513282

GCD(726, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 726, 707, 914, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 769, 566, 765
• GCD of 294, 503, 537, 121
• GCD of 926, 222, 181, 804
• GCD of 226, 168, 673, 824
• GCD of 153, 416, 740, 795

1. What is the GCD of 726, 707, 914, 707?

GCD of 726, 707, 914, 707 is 1

2. Where do I get the detailed procedure to find GCD of 726, 707, 914, 707?

You can find a detailed procedure to find GCD of 726, 707, 914, 707 on our page.

3. How to find GCD of 726, 707, 914, 707 on a calculator?

You can find the GCD of 726, 707, 914, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.