GCD of 364, 850, 362, 108 Calculator

Given Input numbers are 364, 850, 362, 108

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (364, 850, 362, 108) = 2.

Given numbers are 364, 850, 362, 108

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 362 are 2 x 181

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 364, 850, 362, 108 is 2.

Given numbers are 364, 850, 362, 108

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

Apply this formula for all numbers.

Step1:

LCM(364, 850) = 154700

GCD(364, 850) = ( 364 x 850 ) / 154700

= 364 / 850

= 364

Step2:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 364, 850, 362, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 381, 817, 287
• GCD of 535, 646, 683, 217
• GCD of 557, 338, 955, 308
• GCD of 815, 340, 480, 436
• GCD of 406, 900, 938, 433

Given numbers are 364, 850, 362, 108
The greatest common divisor of numbers 364, 850, 362, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 850, 362, 108 is 2.

1. What is the GCD of 364, 850, 362, 108?

GCD of given numbers 364, 850, 362, 108 is 2

2. How to calculate the greatest common divisor of 364, 850, 362, 108?

We can find the highest common divisor of 364, 850, 362, 108 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 364, 850, 362, 108 i.e 2.

3. How can I use the GCD of 364, 850, 362, 108Calculator?

Out the numbers 364, 850, 362, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.