GCD of 726, 138, 789, 312 Calculator

Given Input numbers are 726, 138, 789, 312

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (726, 138, 789, 312) = 3.

Given numbers are 726, 138, 789, 312

The list of prime factors of all numbers are

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

Prime factors of 138 are 2 x 3 x 23

Prime factors of 789 are 3 x 263

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 726, 138, 789, 312 is 3.

Given numbers are 726, 138, 789, 312

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

Apply this formula for all numbers.

Step1:

LCM(726, 138) = 16698

GCD(726, 138) = ( 726 x 138 ) / 16698

= 726 / 138

= 726

Step2:

LCM(6, 789) = 1578

GCD(6, 789) = ( 6 x 789 ) / 1578

= 6 / 789

= 6

Step3:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

So, Greatest Common Divisor of 726, 138, 789, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 958, 947, 526
• GCD of 912, 218, 623, 826
• GCD of 359, 143, 819, 807
• GCD of 923, 164, 263, 237
• GCD of 482, 789, 682, 467

Given numbers are 726, 138, 789, 312
The greatest common divisor of numbers 726, 138, 789, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 138, 789, 312 is 3.

1. What is the GCD of 726, 138, 789, 312?

GCD of given numbers 726, 138, 789, 312 is 3

2. How to calculate the greatest common divisor of 726, 138, 789, 312?

We can find the highest common divisor of 726, 138, 789, 312 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, 138, 789, 312 i.e 3.

3. How can I use the GCD of 726, 138, 789, 312Calculator?

Out the numbers 726, 138, 789, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.