GCD of 370, 406, 320, 882 Calculator

Given Input numbers are 370, 406, 320, 882

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 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (370, 406, 320, 882) = 2.

Given numbers are 370, 406, 320, 882

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 406 are 2 x 7 x 29

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 370, 406, 320, 882 is 2.

Given numbers are 370, 406, 320, 882

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

Apply this formula for all numbers.

Step1:

LCM(370, 406) = 75110

GCD(370, 406) = ( 370 x 406 ) / 75110

= 370 / 406

= 370

Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

So, Greatest Common Divisor of 370, 406, 320, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 857, 432, 501
• GCD of 933, 551, 409, 462
• GCD of 706, 522, 664, 703
• GCD of 292, 172, 886, 898
• GCD of 515, 728, 959, 240

Given numbers are 370, 406, 320, 882
The greatest common divisor of numbers 370, 406, 320, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 406, 320, 882 is 2.

1. What is the GCD of 370, 406, 320, 882?

GCD of given numbers 370, 406, 320, 882 is 2

2. How to calculate the greatest common divisor of 370, 406, 320, 882?

We can find the highest common divisor of 370, 406, 320, 882 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, 406, 320, 882 i.e 2.

3. How can I use the GCD of 370, 406, 320, 882Calculator?

Out the numbers 370, 406, 320, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.