GCD of 769, 345, 108 Calculator

Given Input numbers are 769, 345, 108

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

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

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 (769, 345, 108) = 1.

Given numbers are 769, 345, 108

The list of prime factors of all numbers are

Prime factors of 769 are 769

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 769, 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(769, 345) = 265305

GCD(769, 345) = ( 769 x 345 ) / 265305

= 769 / 345

= 769

Step2:

LCM(1, 108) = 108

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

= 1 / 108

= 1

So, Greatest Common Divisor of 769, 345, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 356, 399
• GCD of 159, 278, 132
• GCD of 844, 249, 737
• GCD of 391, 449, 967
• GCD of 491, 932, 870

Given numbers are 769, 345, 108
The greatest common divisor of numbers 769, 345, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 769, 345, 108 is 1.

1. What is the GCD of 769, 345, 108?

GCD of given numbers 769, 345, 108 is 1

2. How to calculate the greatest common divisor of 769, 345, 108?

We can find the highest common divisor of 769, 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 769, 345, 108 i.e 1.

3. How can I use the GCD of 769, 345, 108Calculator?

Out the numbers 769, 345, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.