GCD of 726, 609, 423, 714 Calculator

Given Input numbers are 726, 609, 423, 714

In the factoring method, we have to find the divisors of all numbers

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (726, 609, 423, 714) = 3.

Given numbers are 726, 609, 423, 714

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 609 are 3 x 7 x 29

Prime factors of 423 are 3 x 3 x 47

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 3¹

Therefore, GCD of 726, 609, 423, 714 is 3.

Given numbers are 726, 609, 423, 714

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(726, 609) = 147378

GCD(726, 609) = ( 726 x 609 ) / 147378

= 726 / 609

= 726

Step2:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

Step3:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3

So, Greatest Common Divisor of 726, 609, 423, 714 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 182, 195, 929
• GCD of 977, 282, 256, 177
• GCD of 295, 153, 553, 289
• GCD of 305, 653, 470, 401
• GCD of 893, 886, 862, 158

Given numbers are 726, 609, 423, 714
The greatest common divisor of numbers 726, 609, 423, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 609, 423, 714 is 3.

1. What is the GCD of 726, 609, 423, 714?

GCD of given numbers 726, 609, 423, 714 is 3

2. How to calculate the greatest common divisor of 726, 609, 423, 714?

We can find the highest common divisor of 726, 609, 423, 714 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 726, 609, 423, 714 i.e 3.

3. How can I use the GCD of 726, 609, 423, 714Calculator?

Out the numbers 726, 609, 423, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.