GCD of 276, 309, 414 Calculator

Given Input numbers are 276, 309, 414

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 (276, 309, 414) = 3.

Given numbers are 276, 309, 414

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 309 are 3 x 103

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

The highest common occurrence is 3¹

Therefore, GCD of 276, 309, 414 is 3.

Given numbers are 276, 309, 414

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

Apply this formula for all numbers.

Step1:

LCM(276, 309) = 28428

GCD(276, 309) = ( 276 x 309 ) / 28428

= 276 / 309

= 276

Step2:

LCM(3, 414) = 414

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

= 3 / 414

= 3

So, Greatest Common Divisor of 276, 309, 414 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 491, 454
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Given numbers are 276, 309, 414
The greatest common divisor of numbers 276, 309, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 309, 414 is 3.

1. What is the GCD of 276, 309, 414?

GCD of given numbers 276, 309, 414 is 3

2. How to calculate the greatest common divisor of 276, 309, 414?

We can find the highest common divisor of 276, 309, 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 276, 309, 414 i.e 3.

3. How can I use the GCD of 276, 309, 414Calculator?

Out the numbers 276, 309, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.