GCD of 726, 565, 587, 708 Calculator

Given Input numbers are 726, 565, 587, 708

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 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 726, 565, 587, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 565, 587, 708 is 1.

Therefore, GCD of numbers 726, 565, 587, 708 is 1

Given Input Data is 726, 565, 587, 708

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 565 is 5 x 113

Prime Factorization of 587 is 587

Prime Factorization of 708 is 2 x 2 x 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(726, 565) = 410190

GCD(726, 565) = ( 726 x 565 ) / 410190

GCD(726, 565) = 410190 / 410190

GCD(726, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 726, 565, 587, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 896, 601, 548
• GCD of 965, 148, 439, 796
• GCD of 144, 618, 915, 488
• GCD of 801, 836, 870, 414
• GCD of 256, 482, 398, 570

1. What is the GCD of 726, 565, 587, 708?

GCD of 726, 565, 587, 708 is 1

2. Where do I get the detailed procedure to find GCD of 726, 565, 587, 708?

You can find a detailed procedure to find GCD of 726, 565, 587, 708 on our page.

3. How to find GCD of 726, 565, 587, 708 on a calculator?

You can find the GCD of 726, 565, 587, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.