GCD of 598, 690, 702, 726 Calculator

Given Input numbers are 598, 690, 702, 726

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 598, 690, 702, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 690, 702, 726 is 2.

Therefore, GCD of numbers 598, 690, 702, 726 is 2

Given Input Data is 598, 690, 702, 726

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(598, 690) = 8970

GCD(598, 690) = ( 598 x 690 ) / 8970

GCD(598, 690) = 412620 / 8970

GCD(598, 690) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 702

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

LCM(46, 702) = 16146

GCD(46, 702) = ( 46 x 702 ) / 16146

GCD(46, 702) = 32292 / 16146

GCD(46, 702) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

GCD of 598, 690, 702, 726 is 2

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1. What is the GCD of 598, 690, 702, 726?

GCD of 598, 690, 702, 726 is 2

2. Where do I get the detailed procedure to find GCD of 598, 690, 702, 726?

You can find a detailed procedure to find GCD of 598, 690, 702, 726 on our page.

3. How to find GCD of 598, 690, 702, 726 on a calculator?

You can find the GCD of 598, 690, 702, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.