GCD of 726, 351, 234, 834 Calculator

Given Input numbers are 726, 351, 234, 834

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

GCD of numbers is the greatest common divisor

So, the GCD (726, 351, 234, 834) = 3.

Given numbers are 726, 351, 234, 834

The list of prime factors of all numbers are

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

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 3¹

Therefore, GCD of 726, 351, 234, 834 is 3.

Given numbers are 726, 351, 234, 834

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

Apply this formula for all numbers.

Step1:

LCM(726, 351) = 84942

GCD(726, 351) = ( 726 x 351 ) / 84942

= 726 / 351

= 726

Step2:

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

= 3 / 234

= 3

Step3:

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

= 3 / 834

= 3

So, Greatest Common Divisor of 726, 351, 234, 834 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 794, 211, 108
• GCD of 652, 489, 602, 613
• GCD of 189, 776, 733, 414
• GCD of 363, 150, 256, 987
• GCD of 737, 105, 131, 845

Given numbers are 726, 351, 234, 834
The greatest common divisor of numbers 726, 351, 234, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 351, 234, 834 is 3.

1. What is the GCD of 726, 351, 234, 834?

GCD of given numbers 726, 351, 234, 834 is 3

2. How to calculate the greatest common divisor of 726, 351, 234, 834?

We can find the highest common divisor of 726, 351, 234, 834 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, 351, 234, 834 i.e 3.

3. How can I use the GCD of 726, 351, 234, 834Calculator?

Out the numbers 726, 351, 234, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.