GCD of 685, 905, 775, 108 Calculator

Given Input numbers are 685, 905, 775, 108

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

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

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 (685, 905, 775, 108) = 1.

Given numbers are 685, 905, 775, 108

The list of prime factors of all numbers are

Prime factors of 685 are 5 x 137

Prime factors of 905 are 5 x 181

Prime factors of 775 are 5 x 5 x 31

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 685, 905, 775, 108

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

Apply this formula for all numbers.

Step1:

LCM(685, 905) = 123985

GCD(685, 905) = ( 685 x 905 ) / 123985

= 685 / 905

= 685

Step2:

LCM(5, 775) = 775

GCD(5, 775) = ( 5 x 775 ) / 775

= 5 / 775

= 5

Step3:

LCM(5, 108) = 540

GCD(5, 108) = ( 5 x 108 ) / 540

= 5 / 108

= 5

So, Greatest Common Divisor of 685, 905, 775, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 853, 751, 699
• GCD of 811, 841, 815, 517
• GCD of 438, 193, 885, 590
• GCD of 504, 337, 702, 918
• GCD of 670, 780, 335, 775

Given numbers are 685, 905, 775, 108
The greatest common divisor of numbers 685, 905, 775, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 905, 775, 108 is 1.

1. What is the GCD of 685, 905, 775, 108?

GCD of given numbers 685, 905, 775, 108 is 1

2. How to calculate the greatest common divisor of 685, 905, 775, 108?

We can find the highest common divisor of 685, 905, 775, 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 685, 905, 775, 108 i.e 1.

3. How can I use the GCD of 685, 905, 775, 108Calculator?

Out the numbers 685, 905, 775, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.