GCD of 361, 320, 825, 410 Calculator

Given Input numbers are 361, 320, 825, 410

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 410 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (361, 320, 825, 410) = 1.

Given numbers are 361, 320, 825, 410

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 410 are 2 x 5 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 361, 320, 825, 410

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

Apply this formula for all numbers.

Step1:

LCM(361, 320) = 115520

GCD(361, 320) = ( 361 x 320 ) / 115520

= 361 / 320

= 361

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

= 1 / 410

= 1

So, Greatest Common Divisor of 361, 320, 825, 410 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 814, 997, 900
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Given numbers are 361, 320, 825, 410
The greatest common divisor of numbers 361, 320, 825, 410 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 320, 825, 410 is 1.

1. What is the GCD of 361, 320, 825, 410?

GCD of given numbers 361, 320, 825, 410 is 1

2. How to calculate the greatest common divisor of 361, 320, 825, 410?

We can find the highest common divisor of 361, 320, 825, 410 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 361, 320, 825, 410 i.e 1.

3. How can I use the GCD of 361, 320, 825, 410Calculator?

Out the numbers 361, 320, 825, 410 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.