GCD of 414, 150, 486, 279 Calculator

Given Input numbers are 414, 150, 486, 279

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

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

GCD of numbers is the greatest common divisor

So, the GCD (414, 150, 486, 279) = 3.

Given numbers are 414, 150, 486, 279

The list of prime factors of all numbers are

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

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 279 are 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 414, 150, 486, 279 is 3.

Given numbers are 414, 150, 486, 279

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

Apply this formula for all numbers.

Step1:

LCM(414, 150) = 10350

GCD(414, 150) = ( 414 x 150 ) / 10350

= 414 / 150

= 414

Step2:

LCM(6, 486) = 486

GCD(6, 486) = ( 6 x 486 ) / 486

= 6 / 486

= 6

Step3:

LCM(6, 279) = 558

GCD(6, 279) = ( 6 x 279 ) / 558

= 6 / 279

= 6

So, Greatest Common Divisor of 414, 150, 486, 279 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 366, 942, 337
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• GCD of 271, 717, 566, 616
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• GCD of 960, 900, 555, 952

Given numbers are 414, 150, 486, 279
The greatest common divisor of numbers 414, 150, 486, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 150, 486, 279 is 3.

1. What is the GCD of 414, 150, 486, 279?

GCD of given numbers 414, 150, 486, 279 is 3

2. How to calculate the greatest common divisor of 414, 150, 486, 279?

We can find the highest common divisor of 414, 150, 486, 279 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 414, 150, 486, 279 i.e 3.

3. How can I use the GCD of 414, 150, 486, 279Calculator?

Out the numbers 414, 150, 486, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.