GCD of 153, 402, 663, 729 Calculator

Given Input numbers are 153, 402, 663, 729

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

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (153, 402, 663, 729) = 3.

Given numbers are 153, 402, 663, 729

The list of prime factors of all numbers are

Prime factors of 153 are 3 x 3 x 17

Prime factors of 402 are 2 x 3 x 67

Prime factors of 663 are 3 x 13 x 17

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 153, 402, 663, 729 is 3.

Given numbers are 153, 402, 663, 729

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

Apply this formula for all numbers.

Step1:

LCM(153, 402) = 20502

GCD(153, 402) = ( 153 x 402 ) / 20502

= 153 / 402

= 153

Step2:

LCM(3, 663) = 663

GCD(3, 663) = ( 3 x 663 ) / 663

= 3 / 663

= 3

Step3:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3

So, Greatest Common Divisor of 153, 402, 663, 729 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 908, 712, 438
• GCD of 161, 723, 233, 619
• GCD of 157, 806, 409, 750
• GCD of 293, 255, 991, 805
• GCD of 816, 949, 521, 250

Given numbers are 153, 402, 663, 729
The greatest common divisor of numbers 153, 402, 663, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 402, 663, 729 is 3.

1. What is the GCD of 153, 402, 663, 729?

GCD of given numbers 153, 402, 663, 729 is 3

2. How to calculate the greatest common divisor of 153, 402, 663, 729?

We can find the highest common divisor of 153, 402, 663, 729 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 153, 402, 663, 729 i.e 3.

3. How can I use the GCD of 153, 402, 663, 729Calculator?

Out the numbers 153, 402, 663, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.