GCD of 365, 322, 420, 380 Calculator

Given Input numbers are 365, 322, 420, 380

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

Divisors of 365 :

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

1, 5, 73, 365

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (365, 322, 420, 380) = 1.

Given numbers are 365, 322, 420, 380

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

Prime factors of 322 are 2 x 7 x 23

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 380 are 2 x 2 x 5 x 19

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

Given numbers are 365, 322, 420, 380

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

Apply this formula for all numbers.

Step1:

LCM(365, 322) = 117530

GCD(365, 322) = ( 365 x 322 ) / 117530

= 365 / 322

= 365

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

So, Greatest Common Divisor of 365, 322, 420, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 750, 858, 572
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Given numbers are 365, 322, 420, 380
The greatest common divisor of numbers 365, 322, 420, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 322, 420, 380 is 1.

1. What is the GCD of 365, 322, 420, 380?

GCD of given numbers 365, 322, 420, 380 is 1

2. How to calculate the greatest common divisor of 365, 322, 420, 380?

We can find the highest common divisor of 365, 322, 420, 380 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 365, 322, 420, 380 i.e 1.

3. How can I use the GCD of 365, 322, 420, 380Calculator?

Out the numbers 365, 322, 420, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.