GCD of 765, 754, 345, 108 Calculator

Given Input numbers are 765, 754, 345, 108

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (765, 754, 345, 108) = 1.

Given numbers are 765, 754, 345, 108

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 754 are 2 x 13 x 29

Prime factors of 345 are 3 x 5 x 23

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Given numbers are 765, 754, 345, 108

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

Apply this formula for all numbers.

Step1:

LCM(765, 754) = 576810

GCD(765, 754) = ( 765 x 754 ) / 576810

= 765 / 754

= 765

Step2:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 765, 754, 345, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 781, 180, 888
• GCD of 292, 886, 951, 610
• GCD of 735, 784, 676, 216
• GCD of 429, 740, 161, 849
• GCD of 379, 235, 207, 698

Given numbers are 765, 754, 345, 108
The greatest common divisor of numbers 765, 754, 345, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 754, 345, 108 is 1.

1. What is the GCD of 765, 754, 345, 108?

GCD of given numbers 765, 754, 345, 108 is 1

2. How to calculate the greatest common divisor of 765, 754, 345, 108?

We can find the highest common divisor of 765, 754, 345, 108 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 765, 754, 345, 108 i.e 1.

3. How can I use the GCD of 765, 754, 345, 108Calculator?

Out the numbers 765, 754, 345, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.