GCD of 380, 742, 906, 365 Calculator

Given Input numbers are 380, 742, 906, 365

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

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 365 :

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

1, 5, 73, 365

GCD of numbers is the greatest common divisor

So, the GCD (380, 742, 906, 365) = 1.

Given numbers are 380, 742, 906, 365

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 906 are 2 x 3 x 151

Prime factors of 365 are 5 x 73

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

Given numbers are 380, 742, 906, 365

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

Apply this formula for all numbers.

Step1:

LCM(380, 742) = 140980

GCD(380, 742) = ( 380 x 742 ) / 140980

= 380 / 742

= 380

Step2:

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

= 2 / 906

= 2

Step3:

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

= 2 / 365

= 2

So, Greatest Common Divisor of 380, 742, 906, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 582, 900, 325
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• GCD of 634, 677, 376, 675

Given numbers are 380, 742, 906, 365
The greatest common divisor of numbers 380, 742, 906, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 742, 906, 365 is 1.

1. What is the GCD of 380, 742, 906, 365?

GCD of given numbers 380, 742, 906, 365 is 1

2. How to calculate the greatest common divisor of 380, 742, 906, 365?

We can find the highest common divisor of 380, 742, 906, 365 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 380, 742, 906, 365 i.e 1.

3. How can I use the GCD of 380, 742, 906, 365Calculator?

Out the numbers 380, 742, 906, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.