GCD of 654, 726, 366 Calculator

Given Input numbers are 654, 726, 366

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

GCD of numbers is the greatest common divisor

So, the GCD (654, 726, 366) = 6.

Given numbers are 654, 726, 366

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

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

Prime factors of 366 are 2 x 3 x 61

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 654, 726, 366 is 6.

Given numbers are 654, 726, 366

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

Apply this formula for all numbers.

Step1:

LCM(654, 726) = 79134

GCD(654, 726) = ( 654 x 726 ) / 79134

= 654 / 726

= 654

Step2:

LCM(6, 366) = 366

GCD(6, 366) = ( 6 x 366 ) / 366

= 6 / 366

= 6

So, Greatest Common Divisor of 654, 726, 366 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 501, 444
• GCD of 484, 331, 644
• GCD of 567, 345, 277
• GCD of 418, 444, 818
• GCD of 678, 619, 570

Given numbers are 654, 726, 366
The greatest common divisor of numbers 654, 726, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 726, 366 is 6.

1. What is the GCD of 654, 726, 366?

GCD of given numbers 654, 726, 366 is 6

2. How to calculate the greatest common divisor of 654, 726, 366?

We can find the highest common divisor of 654, 726, 366 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 654, 726, 366 i.e 6.

3. How can I use the GCD of 654, 726, 366Calculator?

Out the numbers 654, 726, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.