GCD of 351, 510, 306, 261 Calculator

Given Input numbers are 351, 510, 306, 261

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

Divisors of 351 :

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

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

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 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (351, 510, 306, 261) = 3.

Given numbers are 351, 510, 306, 261

The list of prime factors of all numbers are

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

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

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 351, 510, 306, 261 is 3.

Given numbers are 351, 510, 306, 261

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

Apply this formula for all numbers.

Step1:

LCM(351, 510) = 59670

GCD(351, 510) = ( 351 x 510 ) / 59670

= 351 / 510

= 351

Step2:

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

= 3 / 306

= 3

Step3:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

So, Greatest Common Divisor of 351, 510, 306, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 638, 947, 882
• GCD of 246, 321, 928, 223
• GCD of 512, 930, 410, 149
• GCD of 539, 959, 969, 482
• GCD of 596, 280, 962, 782

Given numbers are 351, 510, 306, 261
The greatest common divisor of numbers 351, 510, 306, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 510, 306, 261 is 3.

1. What is the GCD of 351, 510, 306, 261?

GCD of given numbers 351, 510, 306, 261 is 3

2. How to calculate the greatest common divisor of 351, 510, 306, 261?

We can find the highest common divisor of 351, 510, 306, 261 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 351, 510, 306, 261 i.e 3.

3. How can I use the GCD of 351, 510, 306, 261Calculator?

Out the numbers 351, 510, 306, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.