GCD of 370, 352, 82, 864 Calculator

Given Input numbers are 370, 352, 82, 864

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 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (370, 352, 82, 864) = 2.

Given numbers are 370, 352, 82, 864

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 82 are 2 x 41

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 370, 352, 82, 864 is 2.

Given numbers are 370, 352, 82, 864

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

Apply this formula for all numbers.

Step1:

LCM(370, 352) = 65120

GCD(370, 352) = ( 370 x 352 ) / 65120

= 370 / 352

= 370

Step2:

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

= 2 / 82

= 2

Step3:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

So, Greatest Common Divisor of 370, 352, 82, 864 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 846, 68, 904
• GCD of 432, 968, 75, 921
• GCD of 616, 252, 51, 119
• GCD of 361, 170, 35, 199
• GCD of 217, 363, 64, 238

Given numbers are 370, 352, 82, 864
The greatest common divisor of numbers 370, 352, 82, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 352, 82, 864 is 2.

1. What is the GCD of 370, 352, 82, 864?

GCD of given numbers 370, 352, 82, 864 is 2

2. How to calculate the greatest common divisor of 370, 352, 82, 864?

We can find the highest common divisor of 370, 352, 82, 864 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, 352, 82, 864 i.e 2.

3. How can I use the GCD of 370, 352, 82, 864Calculator?

Out the numbers 370, 352, 82, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.