GCD of 370, 108, 852, 338 Calculator

Given Input numbers are 370, 108, 852, 338

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (370, 108, 852, 338) = 2.

Given numbers are 370, 108, 852, 338

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

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

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 370, 108, 852, 338 is 2.

Given numbers are 370, 108, 852, 338

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

Apply this formula for all numbers.

Step1:

LCM(370, 108) = 19980

GCD(370, 108) = ( 370 x 108 ) / 19980

= 370 / 108

= 370

Step2:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 370, 108, 852, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 982, 952, 886
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Given numbers are 370, 108, 852, 338
The greatest common divisor of numbers 370, 108, 852, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 108, 852, 338 is 2.

1. What is the GCD of 370, 108, 852, 338?

GCD of given numbers 370, 108, 852, 338 is 2

2. How to calculate the greatest common divisor of 370, 108, 852, 338?

We can find the highest common divisor of 370, 108, 852, 338 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 370, 108, 852, 338 i.e 2.

3. How can I use the GCD of 370, 108, 852, 338Calculator?

Out the numbers 370, 108, 852, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.