GCD of 351, 186, 318, 240 Calculator

Given Input numbers are 351, 186, 318, 240

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 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (351, 186, 318, 240) = 3.

Given numbers are 351, 186, 318, 240

The list of prime factors of all numbers are

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

Prime factors of 186 are 2 x 3 x 31

Prime factors of 318 are 2 x 3 x 53

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 351, 186, 318, 240 is 3.

Given numbers are 351, 186, 318, 240

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

Apply this formula for all numbers.

Step1:

LCM(351, 186) = 21762

GCD(351, 186) = ( 351 x 186 ) / 21762

= 351 / 186

= 351

Step2:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 351, 186, 318, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 485, 547, 581
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Given numbers are 351, 186, 318, 240
The greatest common divisor of numbers 351, 186, 318, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 186, 318, 240 is 3.

1. What is the GCD of 351, 186, 318, 240?

GCD of given numbers 351, 186, 318, 240 is 3

2. How to calculate the greatest common divisor of 351, 186, 318, 240?

We can find the highest common divisor of 351, 186, 318, 240 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, 186, 318, 240 i.e 3.

3. How can I use the GCD of 351, 186, 318, 240Calculator?

Out the numbers 351, 186, 318, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.