GCD of 660, 153, 234, 144 Calculator

Given Input numbers are 660, 153, 234, 144

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 153 :

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

1, 3, 9, 17, 51, 153

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (660, 153, 234, 144) = 3.

Given numbers are 660, 153, 234, 144

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 153 are 3 x 3 x 17

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 660, 153, 234, 144 is 3.

Given numbers are 660, 153, 234, 144

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

Apply this formula for all numbers.

Step1:

LCM(660, 153) = 33660

GCD(660, 153) = ( 660 x 153 ) / 33660

= 660 / 153

= 660

Step2:

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

= 3 / 234

= 3

Step3:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

So, Greatest Common Divisor of 660, 153, 234, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 471, 556, 799
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Given numbers are 660, 153, 234, 144
The greatest common divisor of numbers 660, 153, 234, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 153, 234, 144 is 3.

1. What is the GCD of 660, 153, 234, 144?

GCD of given numbers 660, 153, 234, 144 is 3

2. How to calculate the greatest common divisor of 660, 153, 234, 144?

We can find the highest common divisor of 660, 153, 234, 144 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 660, 153, 234, 144 i.e 3.

3. How can I use the GCD of 660, 153, 234, 144Calculator?

Out the numbers 660, 153, 234, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.