GCD of 726, 195, 993, 204 Calculator

Given Input numbers are 726, 195, 993, 204

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 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (726, 195, 993, 204) = 3.

Given numbers are 726, 195, 993, 204

The list of prime factors of all numbers are

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

Prime factors of 195 are 3 x 5 x 13

Prime factors of 993 are 3 x 331

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 726, 195, 993, 204 is 3.

Given numbers are 726, 195, 993, 204

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

Apply this formula for all numbers.

Step1:

LCM(726, 195) = 47190

GCD(726, 195) = ( 726 x 195 ) / 47190

= 726 / 195

= 726

Step2:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3

Step3:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

So, Greatest Common Divisor of 726, 195, 993, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 776, 163, 615
• GCD of 417, 145, 163, 332
• GCD of 849, 920, 894, 371
• GCD of 603, 428, 295, 780
• GCD of 224, 128, 818, 148

Given numbers are 726, 195, 993, 204
The greatest common divisor of numbers 726, 195, 993, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 195, 993, 204 is 3.

1. What is the GCD of 726, 195, 993, 204?

GCD of given numbers 726, 195, 993, 204 is 3

2. How to calculate the greatest common divisor of 726, 195, 993, 204?

We can find the highest common divisor of 726, 195, 993, 204 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, 195, 993, 204 i.e 3.

3. How can I use the GCD of 726, 195, 993, 204Calculator?

Out the numbers 726, 195, 993, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.