GCD of 708, 627, 693, 726 Calculator

Given Input numbers are 708, 627, 693, 726

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

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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

Greatest Common Divisior

We found the divisors of 708, 627, 693, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 627, 693, 726 is 3.

Therefore, GCD of numbers 708, 627, 693, 726 is 3

Given Input Data is 708, 627, 693, 726

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 693 is 3 x 3 x 7 x 11

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(708, 627) = 147972

GCD(708, 627) = ( 708 x 627 ) / 147972

GCD(708, 627) = 443916 / 147972

GCD(708, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 693

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

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

GCD(3, 693) = 2079 / 693

GCD(3, 693) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 726

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

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

GCD(3, 726) = 2178 / 726

GCD(3, 726) = 3

GCD of 708, 627, 693, 726 is 3

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1. What is the GCD of 708, 627, 693, 726?

GCD of 708, 627, 693, 726 is 3

2. Where do I get the detailed procedure to find GCD of 708, 627, 693, 726?

You can find a detailed procedure to find GCD of 708, 627, 693, 726 on our page.

3. How to find GCD of 708, 627, 693, 726 on a calculator?

You can find the GCD of 708, 627, 693, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.