GCD of 351, 372, 27, 102 Calculator

Given Input numbers are 351, 372, 27, 102

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 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (351, 372, 27, 102) = 3.

Given numbers are 351, 372, 27, 102

The list of prime factors of all numbers are

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

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 27 are 3 x 3 x 3

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 351, 372, 27, 102 is 3.

Given numbers are 351, 372, 27, 102

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

Apply this formula for all numbers.

Step1:

LCM(351, 372) = 43524

GCD(351, 372) = ( 351 x 372 ) / 43524

= 351 / 372

= 351

Step2:

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

= 3 / 27

= 3

Step3:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

So, Greatest Common Divisor of 351, 372, 27, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 142, 87, 146
• GCD of 773, 511, 10, 701
• GCD of 788, 202, 21, 838
• GCD of 449, 584, 39, 485
• GCD of 646, 114, 22, 643

Given numbers are 351, 372, 27, 102
The greatest common divisor of numbers 351, 372, 27, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 372, 27, 102 is 3.

1. What is the GCD of 351, 372, 27, 102?

GCD of given numbers 351, 372, 27, 102 is 3

2. How to calculate the greatest common divisor of 351, 372, 27, 102?

We can find the highest common divisor of 351, 372, 27, 102 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, 372, 27, 102 i.e 3.

3. How can I use the GCD of 351, 372, 27, 102Calculator?

Out the numbers 351, 372, 27, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.