GCD of 309, 213, 480, 678 Calculator

Given Input numbers are 309, 213, 480, 678

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (309, 213, 480, 678) = 3.

Given numbers are 309, 213, 480, 678

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 213 are 3 x 71

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 309, 213, 480, 678 is 3.

Given numbers are 309, 213, 480, 678

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

Apply this formula for all numbers.

Step1:

LCM(309, 213) = 21939

GCD(309, 213) = ( 309 x 213 ) / 21939

= 309 / 213

= 309

Step2:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

Step3:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 309, 213, 480, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 490, 252, 844
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• GCD of 916, 704, 728, 677
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• GCD of 757, 619, 332, 371

Given numbers are 309, 213, 480, 678
The greatest common divisor of numbers 309, 213, 480, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 213, 480, 678 is 3.

1. What is the GCD of 309, 213, 480, 678?

GCD of given numbers 309, 213, 480, 678 is 3

2. How to calculate the greatest common divisor of 309, 213, 480, 678?

We can find the highest common divisor of 309, 213, 480, 678 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 309, 213, 480, 678 i.e 3.

3. How can I use the GCD of 309, 213, 480, 678Calculator?

Out the numbers 309, 213, 480, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.