GCD of 660, 144, 465, 414 Calculator

Given Input numbers are 660, 144, 465, 414

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 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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (660, 144, 465, 414) = 3.

Given numbers are 660, 144, 465, 414

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 465 are 3 x 5 x 31

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 660, 144, 465, 414 is 3.

Given numbers are 660, 144, 465, 414

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

Apply this formula for all numbers.

Step1:

LCM(660, 144) = 7920

GCD(660, 144) = ( 660 x 144 ) / 7920

= 660 / 144

= 660

Step2:

LCM(12, 465) = 1860

GCD(12, 465) = ( 12 x 465 ) / 1860

= 12 / 465

= 12

Step3:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

So, Greatest Common Divisor of 660, 144, 465, 414 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 997, 945, 868
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Given numbers are 660, 144, 465, 414
The greatest common divisor of numbers 660, 144, 465, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 144, 465, 414 is 3.

1. What is the GCD of 660, 144, 465, 414?

GCD of given numbers 660, 144, 465, 414 is 3

2. How to calculate the greatest common divisor of 660, 144, 465, 414?

We can find the highest common divisor of 660, 144, 465, 414 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, 144, 465, 414 i.e 3.

3. How can I use the GCD of 660, 144, 465, 414Calculator?

Out the numbers 660, 144, 465, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.