GCD of 355, 410, 365, 990 Calculator

Given Input numbers are 355, 410, 365, 990

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (355, 410, 365, 990) = 5.

Given numbers are 355, 410, 365, 990

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 410 are 2 x 5 x 41

Prime factors of 365 are 5 x 73

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 5¹

Therefore, GCD of 355, 410, 365, 990 is 5.

Given numbers are 355, 410, 365, 990

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

Apply this formula for all numbers.

Step1:

LCM(355, 410) = 29110

GCD(355, 410) = ( 355 x 410 ) / 29110

= 355 / 410

= 355

Step2:

LCM(5, 365) = 365

GCD(5, 365) = ( 5 x 365 ) / 365

= 5 / 365

= 5

Step3:

LCM(5, 990) = 990

GCD(5, 990) = ( 5 x 990 ) / 990

= 5 / 990

= 5

So, Greatest Common Divisor of 355, 410, 365, 990 is 5

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Given numbers are 355, 410, 365, 990
The greatest common divisor of numbers 355, 410, 365, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 410, 365, 990 is 5.

1. What is the GCD of 355, 410, 365, 990?

GCD of given numbers 355, 410, 365, 990 is 5

2. How to calculate the greatest common divisor of 355, 410, 365, 990?

We can find the highest common divisor of 355, 410, 365, 990 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 355, 410, 365, 990 i.e 5.

3. How can I use the GCD of 355, 410, 365, 990Calculator?

Out the numbers 355, 410, 365, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.