GCD of 726, 342, 18, 380 Calculator

Given Input numbers are 726, 342, 18, 380

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (726, 342, 18, 380) = 2.

Given numbers are 726, 342, 18, 380

The list of prime factors of all numbers are

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 18 are 2 x 3 x 3

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 726, 342, 18, 380 is 2.

Given numbers are 726, 342, 18, 380

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

Apply this formula for all numbers.

Step1:

LCM(726, 342) = 41382

GCD(726, 342) = ( 726 x 342 ) / 41382

= 726 / 342

= 726

Step2:

LCM(6, 18) = 18

GCD(6, 18) = ( 6 x 18 ) / 18

= 6 / 18

= 6

Step3:

LCM(6, 380) = 1140

GCD(6, 380) = ( 6 x 380 ) / 1140

= 6 / 380

= 6

So, Greatest Common Divisor of 726, 342, 18, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 664, 51, 874
• GCD of 618, 933, 61, 496
• GCD of 788, 916, 86, 118
• GCD of 303, 937, 56, 271
• GCD of 684, 137, 34, 833

Given numbers are 726, 342, 18, 380
The greatest common divisor of numbers 726, 342, 18, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 342, 18, 380 is 2.

1. What is the GCD of 726, 342, 18, 380?

GCD of given numbers 726, 342, 18, 380 is 2

2. How to calculate the greatest common divisor of 726, 342, 18, 380?

We can find the highest common divisor of 726, 342, 18, 380 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, 342, 18, 380 i.e 2.

3. How can I use the GCD of 726, 342, 18, 380Calculator?

Out the numbers 726, 342, 18, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.