GCD of 309, 564, 351, 492 Calculator

Given Input numbers are 309, 564, 351, 492

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (309, 564, 351, 492) = 3.

Given numbers are 309, 564, 351, 492

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 309, 564, 351, 492 is 3.

Given numbers are 309, 564, 351, 492

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

Apply this formula for all numbers.

Step1:

LCM(309, 564) = 58092

GCD(309, 564) = ( 309 x 564 ) / 58092

= 309 / 564

= 309

Step2:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

Step3:

LCM(3, 492) = 492

GCD(3, 492) = ( 3 x 492 ) / 492

= 3 / 492

= 3

So, Greatest Common Divisor of 309, 564, 351, 492 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 655, 822, 241
• GCD of 336, 614, 371, 104
• GCD of 244, 922, 616, 895
• GCD of 370, 458, 977, 809
• GCD of 164, 753, 578, 772

Given numbers are 309, 564, 351, 492
The greatest common divisor of numbers 309, 564, 351, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 564, 351, 492 is 3.

1. What is the GCD of 309, 564, 351, 492?

GCD of given numbers 309, 564, 351, 492 is 3

2. How to calculate the greatest common divisor of 309, 564, 351, 492?

We can find the highest common divisor of 309, 564, 351, 492 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, 564, 351, 492 i.e 3.

3. How can I use the GCD of 309, 564, 351, 492Calculator?

Out the numbers 309, 564, 351, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.