GCD of 315, 132, 414, 279 Calculator

Given Input numbers are 315, 132, 414, 279

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 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 (315, 132, 414, 279) = 3.

Given numbers are 315, 132, 414, 279

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 132 are 2 x 2 x 3 x 11

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

Prime factors of 279 are 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 315, 132, 414, 279 is 3.

Given numbers are 315, 132, 414, 279

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

Apply this formula for all numbers.

Step1:

LCM(315, 132) = 13860

GCD(315, 132) = ( 315 x 132 ) / 13860

= 315 / 132

= 315

Step2:

LCM(3, 414) = 414

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

= 3 / 414

= 3

Step3:

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

= 3 / 279

= 3

So, Greatest Common Divisor of 315, 132, 414, 279 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 737, 233, 977
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Given numbers are 315, 132, 414, 279
The greatest common divisor of numbers 315, 132, 414, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 132, 414, 279 is 3.

1. What is the GCD of 315, 132, 414, 279?

GCD of given numbers 315, 132, 414, 279 is 3

2. How to calculate the greatest common divisor of 315, 132, 414, 279?

We can find the highest common divisor of 315, 132, 414, 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 315, 132, 414, 279 i.e 3.

3. How can I use the GCD of 315, 132, 414, 279Calculator?

Out the numbers 315, 132, 414, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.