GCD of 114, 510, 309 Calculator

Given Input numbers are 114, 510, 309

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 309 :

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

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (114, 510, 309) = 3.

Given numbers are 114, 510, 309

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 309 are 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 114, 510, 309 is 3.

Given numbers are 114, 510, 309

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

Apply this formula for all numbers.

Step1:

LCM(114, 510) = 9690

GCD(114, 510) = ( 114 x 510 ) / 9690

= 114 / 510

= 114

Step2:

LCM(6, 309) = 618

GCD(6, 309) = ( 6 x 309 ) / 618

= 6 / 309

= 6

So, Greatest Common Divisor of 114, 510, 309 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 427, 864
• GCD of 211, 976, 185
• GCD of 958, 649, 263
• GCD of 143, 753, 821
• GCD of 362, 625, 497

Given numbers are 114, 510, 309
The greatest common divisor of numbers 114, 510, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 510, 309 is 3.

1. What is the GCD of 114, 510, 309?

GCD of given numbers 114, 510, 309 is 3

2. How to calculate the greatest common divisor of 114, 510, 309?

We can find the highest common divisor of 114, 510, 309 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 114, 510, 309 i.e 3.

3. How can I use the GCD of 114, 510, 309Calculator?

Out the numbers 114, 510, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.