GCD of 109, 192, 365, 746 Calculator

Given Input numbers are 109, 192, 365, 746

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 365 :

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

1, 5, 73, 365

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (109, 192, 365, 746) = 1.

Given numbers are 109, 192, 365, 746

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 365 are 5 x 73

Prime factors of 746 are 2 x 373

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

Given numbers are 109, 192, 365, 746

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

Apply this formula for all numbers.

Step1:

LCM(109, 192) = 20928

GCD(109, 192) = ( 109 x 192 ) / 20928

= 109 / 192

= 109

Step2:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 109, 192, 365, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 813, 155, 220
• GCD of 263, 785, 803, 548
• GCD of 282, 413, 211, 990
• GCD of 561, 868, 174, 904
• GCD of 195, 466, 296, 943

Given numbers are 109, 192, 365, 746
The greatest common divisor of numbers 109, 192, 365, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 192, 365, 746 is 1.

1. What is the GCD of 109, 192, 365, 746?

GCD of given numbers 109, 192, 365, 746 is 1

2. How to calculate the greatest common divisor of 109, 192, 365, 746?

We can find the highest common divisor of 109, 192, 365, 746 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 109, 192, 365, 746 i.e 1.

3. How can I use the GCD of 109, 192, 365, 746Calculator?

Out the numbers 109, 192, 365, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.