GCD of 365, 138, 205, 744 Calculator

Given Input numbers are 365, 138, 205, 744

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (365, 138, 205, 744) = 1.

Given numbers are 365, 138, 205, 744

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

Prime factors of 138 are 2 x 3 x 23

Prime factors of 205 are 5 x 41

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Given numbers are 365, 138, 205, 744

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

Apply this formula for all numbers.

Step1:

LCM(365, 138) = 50370

GCD(365, 138) = ( 365 x 138 ) / 50370

= 365 / 138

= 365

Step2:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

Step3:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1

So, Greatest Common Divisor of 365, 138, 205, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 546, 143, 470
• GCD of 392, 902, 691, 851
• GCD of 189, 894, 254, 518
• GCD of 435, 414, 355, 694
• GCD of 241, 222, 472, 740

Given numbers are 365, 138, 205, 744
The greatest common divisor of numbers 365, 138, 205, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 138, 205, 744 is 1.

1. What is the GCD of 365, 138, 205, 744?

GCD of given numbers 365, 138, 205, 744 is 1

2. How to calculate the greatest common divisor of 365, 138, 205, 744?

We can find the highest common divisor of 365, 138, 205, 744 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, 138, 205, 744 i.e 1.

3. How can I use the GCD of 365, 138, 205, 744Calculator?

Out the numbers 365, 138, 205, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.